10056262600 has 48 divisors (see below), whose sum is σ = 23407759620. Its totient is φ = 4017868800.

The previous prime is 10056262591. The next prime is 10056262621. The reversal of 10056262600 is 626265001.

10056262600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3382352964 + 6673909636 = 58158^2 + 81694^2 .

It is a super-2 number, since 2×10056262600² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147664 + ... + 204736.

Almost surely, 2^10056262600 is an apocalyptic number.

10056262600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056262600 is an abundant number, since it is smaller than the sum of its proper divisors (13351497020).

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

10056262600 is a wasteful number, since it uses less digits than its factorization.

10056262600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57970 (or 57961 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10056262600 in words is "ten billion, fifty-six million, two hundred sixty-two thousand, six hundred".