10100580952 has 128 divisors (see below), whose sum is σ = 24619438080. Its totient is φ = 3769920000.

The previous prime is 10100580949. The next prime is 10100581021. The reversal of 10100580952 is 25908500101.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1926078 + ... + 1931314.

It is an arithmetic number, because the mean of its divisors is an integer number (192339360).

Almost surely, 2^10100580952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100580952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12309719040).

10100580952 is an abundant number, since it is smaller than the sum of its proper divisors (14518857128).

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

10100580952 is a wasteful number, since it uses less digits than its factorization.

10100580952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 10100580952 in words is "ten billion, one hundred million, five hundred eighty thousand, nine hundred fifty-two".