10152612096 has 144 divisors (see below), whose sum is σ = 30428848128. Its totient is φ = 2977228800.

The previous prime is 10152612073. The next prime is 10152612097. The reversal of 10152612096 is 69021625101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10152612097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242505 + ... + 281271.

Almost surely, 2^10152612096 is an apocalyptic number.

10152612096 is a gapful number since it is divisible by the number (16) 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 10152612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214424064).

10152612096 is an abundant number, since it is smaller than the sum of its proper divisors (20276236032).

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

10152612096 is a wasteful number, since it uses less digits than its factorization.

10152612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38828 (or 38814 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10152612096 in words is "ten billion, one hundred fifty-two million, six hundred twelve thousand, ninety-six".