100902104919 has 160 divisors (see below), whose sum is σ = 201862848000. Its totient is φ = 49655047680.

The previous prime is 100902104911. The next prime is 100902104923. The reversal of 100902104919 is 919401209001.

It is not a de Polignac number, because 100902104919 - 2³ = 100902104911 is a prime.

It is a super-2 number, since 2×100902104919² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100902104911) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5797959 + ... + 5815335.

It is an arithmetic number, because the mean of its divisors is an integer number (1261642800).

Almost surely, 2^100902104919 is an apocalyptic number.

100902104919 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100902104919 is an abundant number, since it is smaller than the sum of its proper divisors (100960743081).

100902104919 is a wasteful number, since it uses less digits than its factorization.

100902104919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 100902104919 in words is "one hundred billion, nine hundred two million, one hundred four thousand, nine hundred nineteen".