102740017100 has 72 divisors (see below), whose sum is σ = 263014499328. Its totient is φ = 34088846400.

The previous prime is 102740017067. The next prime is 102740017169. The reversal of 102740017100 is 1710047201.

It is a super-2 number, since 2×102740017100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2345582 + ... + 2388981.

Almost surely, 2^102740017100 is an apocalyptic number.

102740017100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102740017100 is an abundant number, since it is smaller than the sum of its proper divisors (160274482228).

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

102740017100 is a wasteful number, since it uses less digits than its factorization.

102740017100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734615 (or 4734608 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The spelling of 102740017100 in words is "one hundred two billion, seven hundred forty million, seventeen thousand, one hundred".