10102435872 has 48 divisors (see below), whose sum is σ = 26533114272. Its totient is φ = 3365672960.

The previous prime is 10102435829. The next prime is 10102435891. The reversal of 10102435872 is 27853420101.

It is a tau number, because it is divible by the number of its divisors (48).

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, 158128 + ... + 212624.

It is an arithmetic number, because the mean of its divisors is an integer number (552773214).

Almost surely, 2^10102435872 is an apocalyptic number.

10102435872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102435872 is an abundant number, since it is smaller than the sum of its proper divisors (16430678400).

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

10102435872 is a wasteful number, since it uses less digits than its factorization.

10102435872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56441 (or 56433 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 10102435872 its reverse (27853420101), we get a palindrome (37955855973).

The spelling of 10102435872 in words is "ten billion, one hundred two million, four hundred thirty-five thousand, eight hundred seventy-two".