100929392100 has 54 divisors (see below), whose sum is σ = 316357575170. Its totient is φ = 26914504320.

The previous prime is 100929392087. The next prime is 100929392107. The reversal of 100929392100 is 1293929001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34560297216 + 66369094884 = 185904^2 + 257622^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100929392107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56070985 + ... + 56072784.

Almost surely, 2^100929392100 is an apocalyptic number.

100929392100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100929392100 is an abundant number, since it is smaller than the sum of its proper divisors (215428183070).

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

100929392100 is a wasteful number, since it uses less digits than its factorization.

100929392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112143789 (or 112143779 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 100929392100 in words is "one hundred billion, nine hundred twenty-nine million, three hundred ninety-two thousand, one hundred".