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106556316350 = 25211193738757
BaseRepresentation
bin110001100111101000…
…0000101101010111110
3101012001002111201111012
41203033100011222332
53221211404110400
6120541251355222
710461364513301
oct1431720055276
9335032451435
10106556316350
1141210298670
12187995b2b12
13a081c1a983
14522bac4b38
152b89b11d35
hex18cf405abe

106556316350 has 24 divisors (see below), whose sum is σ = 216212453928. Its totient is φ = 38747751200.

The previous prime is 106556316341. The next prime is 106556316359. The reversal of 106556316350 is 53613655601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106556316341) and next prime (106556316359).

It is a super-2 number, since 2×1065563163502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106556316298 and 106556316307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106556316359) 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 11 ways as a sum of consecutive naturals, for example, 96868829 + ... + 96869928.

It is an arithmetic number, because the mean of its divisors is an integer number (9008852247).

Almost surely, 2106556316350 is an apocalyptic number.

106556316350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106556316350 is an abundant number, since it is smaller than the sum of its proper divisors (109656137578).

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

106556316350 is a wasteful number, since it uses less digits than its factorization.

106556316350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193738780 (or 193738775 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 106556316350 in words is "one hundred six billion, five hundred fifty-six million, three hundred sixteen thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 193738757 387477514 968693785 1937387570 2131126327 4262252654 4843468925 9686937850 10655631635 21311263270 53278158175 106556316350