10100604990 has 64 divisors (see below), whose sum is σ = 27978877440. Its totient is φ = 2285846400.

The previous prime is 10100604973. The next prime is 10100605001. The reversal of 10100604990 is 9940600101.

It is a super-4 number, since 4×10100604990⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216900 + ... + 259319.

It is an arithmetic number, because the mean of its divisors is an integer number (437169960).

Almost surely, 2^10100604990 is an apocalyptic number.

10100604990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100604990 is an abundant number, since it is smaller than the sum of its proper divisors (17878272450).

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

10100604990 is a wasteful number, since it uses less digits than its factorization.

10100604990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476337.

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 10100604990 in words is "ten billion, one hundred million, six hundred four thousand, nine hundred ninety".