100102912 has 72 divisors (see below), whose sum is σ = 245983136. Its totient is φ = 39591936.

The previous prime is 100102901. The next prime is 100102913. The reversal of 100102912 is 219201001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100102913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21148 + ... + 25444.

Almost surely, 2^100102912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122991568).

100102912 is an abundant number, since it is smaller than the sum of its proper divisors (145880224).

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

100102912 is an equidigital number, since it uses as much as digits as its factorization.

100102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 100102912 is about 10005.1442768208. The cubic root of 100102912 is about 464.3180538353.

Adding to 100102912 its reverse (219201001), we get a palindrome (319303913).

The spelling of 100102912 in words is "one hundred million, one hundred two thousand, nine hundred twelve".