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106103100750 = 23531011400701
BaseRepresentation
bin110001011010000111…
…1001101010101001110
3101010212111200222120020
41202310033031111032
53214244343211000
6120424301403010
710444222322103
oct1426417152516
9333774628506
10106103100750
1140aa8486019
1218691869466
13a00c06646a
1451c782aaaa
152b5ee3aba0
hex18b43cd54e

106103100750 has 64 divisors (see below), whose sum is σ = 267455642688. Its totient is φ = 28014000000.

The previous prime is 106103100743. The next prime is 106103100757. The reversal of 106103100750 is 57001301601.

106103100750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106103100743) and next prime (106103100757).

It is a super-2 number, since 2×1061031007502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106103100750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106103100757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624601 + ... + 776100.

It is an arithmetic number, because the mean of its divisors is an integer number (4178994417).

Almost surely, 2106103100750 is an apocalyptic number.

106103100750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106103100750 is an abundant number, since it is smaller than the sum of its proper divisors (161352541938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106103100750 is a wasteful number, since it uses less digits than its factorization.

106103100750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400822 (or 1400812 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 106103100750 in words is "one hundred six billion, one hundred three million, one hundred thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 125 150 202 250 303 375 505 606 750 1010 1515 2525 3030 5050 7575 12625 15150 25250 37875 75750 1400701 2801402 4202103 7003505 8404206 14007010 21010515 35017525 42021030 70035050 105052575 141470801 175087625 210105150 282941602 350175250 424412403 525262875 707354005 848824806 1050525750 1414708010 2122062015 3536770025 4244124030 7073540050 10610310075 17683850125 21220620150 35367700250 53051550375 106103100750