10112431400 has 48 divisors (see below), whose sum is σ = 23727155100. Its totient is φ = 4007854080.

The previous prime is 10112431363. The next prime is 10112431463. The reversal of 10112431400 is 413421101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1678213156 + 8434218244 = 40966^2 + 91838^2 .

It is a super-2 number, since 2×10112431400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 210137 + ... + 253736.

Almost surely, 2^10112431400 is an apocalyptic number.

10112431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112431400 is an abundant number, since it is smaller than the sum of its proper divisors (13614723700).

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

10112431400 is a wasteful number, since it uses less digits than its factorization.

10112431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463998 (or 463989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10112431400 its reverse (413421101), we get a palindrome (10525852501).

The spelling of 10112431400 in words is "ten billion, one hundred twelve million, four hundred thirty-one thousand, four hundred".