10154242400 has 72 divisors (see below), whose sum is σ = 25866875664. Its totient is φ = 3885094400.

The previous prime is 10154242391. The next prime is 10154242421. The reversal of 10154242400 is 424245101.

10154242400 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-3 number, since 3×10154242400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 257531 + ... + 294330.

It is an arithmetic number, because the mean of its divisors is an integer number (359262162).

Almost surely, 2^10154242400 is an apocalyptic number.

10154242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10154242400 is an abundant number, since it is smaller than the sum of its proper divisors (15712633264).

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

10154242400 is a wasteful number, since it uses less digits than its factorization.

10154242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551904 (or 551891 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10154242400 its reverse (424245101), we get a palindrome (10578487501).

The spelling of 10154242400 in words is "ten billion, one hundred fifty-four million, two hundred forty-two thousand, four hundred".