10005155312232 has 64 divisors (see below), whose sum is σ = 25031628895680. Its totient is φ = 3332553702912.

The previous prime is 10005155312213. The next prime is 10005155312233. The reversal of 10005155312232 is 23221355150001.

It is a self number, because there is not a number n which added to its sum of digits gives 10005155312232.

It is not an unprimeable number, because it can be changed into a prime (10005155312233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297428118 + ... + 297461754.

It is an arithmetic number, because the mean of its divisors is an integer number (391119201495).

Almost surely, 2^{10005155312232} is an apocalyptic number.

10005155312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005155312232 is an abundant number, since it is smaller than the sum of its proper divisors (15026473583448).

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

10005155312232 is a wasteful number, since it uses less digits than its factorization.

10005155312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42562 (or 42558 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10005155312232 in words is "ten trillion, five billion, one hundred fifty-five million, three hundred twelve thousand, two hundred thirty-two".