101904920 has 32 divisors (see below), whose sum is σ = 246924720. Its totient is φ = 37626240.

The previous prime is 101904899. The next prime is 101904937. The reversal of 101904920 is 29409101.

It is a super-2 number, since 2×101904920² = 20769225440412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 101904920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97466 + ... + 98505.

Almost surely, 2^101904920 is an apocalyptic number.

101904920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101904920 is an abundant number, since it is smaller than the sum of its proper divisors (145019800).

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

101904920 is a wasteful number, since it uses less digits than its factorization.

101904920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195995 (or 195991 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 101904920 is about 10094.7966794780. The cubic root of 101904920 is about 467.0876495929.

The spelling of 101904920 in words is "one hundred one million, nine hundred four thousand, nine hundred twenty".