10104201900 has 576 divisors, whose sum is σ = 37428160000. Its totient is φ = 2317870080.

The previous prime is 10104201871. The next prime is 10104201937. The reversal of 10104201900 is 910240101.

It is a super-2 number, since 2×10104201900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72692031 + ... + 72692169.

Almost surely, 2^10104201900 is an apocalyptic number.

10104201900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714080000).

10104201900 is an abundant number, since it is smaller than the sum of its proper divisors (27323958100).

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

10104201900 is a wasteful number, since it uses less digits than its factorization.

10104201900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10104201900 in words is "ten billion, one hundred four million, two hundred one thousand, nine hundred".