10152267400 has 96 divisors (see below), whose sum is σ = 27264638880. Its totient is φ = 3474560000.

The previous prime is 10152267371. The next prime is 10152267403. The reversal of 10152267400 is 476225101.

10152267400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10152267400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10152267403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98326 + ... + 173125.

It is an arithmetic number, because the mean of its divisors is an integer number (284006655).

Almost surely, 2^10152267400 is an apocalyptic number.

10152267400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152267400 is an abundant number, since it is smaller than the sum of its proper divisors (17112371480).

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

10152267400 is a wasteful number, since it uses less digits than its factorization.

10152267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271495 (or 271486 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 10152267400 in words is "ten billion, one hundred fifty-two million, two hundred sixty-seven thousand, four hundred".