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103740700100 = 22525319573717
BaseRepresentation
bin110000010011101101…
…1010111010111000100
3100220202212102121002212
41200213123113113010
53144430104400400
6115354031122552
710331535254462
oct1404733272704
9326685377085
10103740700100
113aaa5a14494
1218132673458
139a237b375b
145041b97832
152a72840335
hex18276d75c4

103740700100 has 36 divisors (see below), whose sum is σ = 229364827524. Its totient is φ = 40713329280.

The previous prime is 103740700097. The next prime is 103740700127. The reversal of 103740700100 is 1007047301.

It can be written as a sum of positive squares in 6 ways, for example, as 3844248004 + 99896452096 = 62002^2 + 316064^2 .

It is an unprimeable number.

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, 9781559 + ... + 9792158.

It is an arithmetic number, because the mean of its divisors is an integer number (6371245209).

Almost surely, 2103740700100 is an apocalyptic number.

103740700100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103740700100 is an abundant number, since it is smaller than the sum of its proper divisors (125624127424).

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

103740700100 is a wasteful number, since it uses less digits than its factorization.

103740700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19573784 (or 19573777 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

Adding to 103740700100 its reverse (1007047301), we get a palindrome (104747747401).

The spelling of 103740700100 in words is "one hundred three billion, seven hundred forty million, seven hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 19573717 39147434 78294868 97868585 195737170 391474340 489342925 978685850 1037407001 1957371700 2074814002 4149628004 5187035005 10374070010 20748140020 25935175025 51870350050 103740700100