10100172640 has 48 divisors (see below), whose sum is σ = 23869711152. Its totient is φ = 4038705664.

The previous prime is 10100172631. The next prime is 10100172671. The reversal of 10100172640 is 4627100101.

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 7 ways as a sum of consecutive naturals, for example, 560247 + ... + 577993.

It is an arithmetic number, because the mean of its divisors is an integer number (497285649).

Almost surely, 2^10100172640 is an apocalyptic number.

10100172640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100172640 is an abundant number, since it is smaller than the sum of its proper divisors (13769538512).

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

10100172640 is a wasteful number, since it uses less digits than its factorization.

10100172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319 (or 21311 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10100172640 its reverse (4627100101), we get a palindrome (14727272741).

The spelling of 10100172640 in words is "ten billion, one hundred million, one hundred seventy-two thousand, six hundred forty".