100012892740 has 48 divisors (see below), whose sum is σ = 221962144320. Its totient is φ = 37748592000.

The previous prime is 100012892737. The next prime is 100012892753. The reversal of 100012892740 is 47298210001.

It is a junction number, because it is equal to n+sod(n) for n = 100012892696 and 100012892705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428907 + ... + 619666.

It is an arithmetic number, because the mean of its divisors is an integer number (4624211340).

Almost surely, 2^100012892740 is an apocalyptic number.

100012892740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012892740 is an abundant number, since it is smaller than the sum of its proper divisors (121949251580).

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

100012892740 is a wasteful number, since it uses less digits than its factorization.

100012892740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048852 (or 1048850 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 100012892740 in words is "one hundred billion, twelve million, eight hundred ninety-two thousand, seven hundred forty".