10613120400 has 405 divisors, whose sum is σ = 39515621353. Its totient is φ = 2637312000.

The previous prime is 10613120369. The next prime is 10613120473. The reversal of 10613120400 is 402131601.

It is a happy number.

The square root of 10613120400 is 103020.

It is a perfect power (a square), and thus also a powerful number.

10613120400 is a `hidden beast` number, since 1 + 0 + 613 + 12 + 0 + 40 + 0 = 666.

10613120400 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 13 ways, for example, as 22240656 + 10590879744 = 4716^2 + 102912^2 .

It is a super-2 number, since 2×10613120400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 105080350 + ... + 105080450.

Almost surely, 2^10613120400 is an apocalyptic number.

10613120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10613120400 is the 103020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10613120400

10613120400 is an abundant number, since it is smaller than the sum of its proper divisors (28902500953).

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

10613120400 is a wasteful number, since it uses less digits than its factorization.

10613120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 10613120400 by its product of nonzero digits (144), we get a square (1528289337600 = 1236240²).

10613120400 divided by its product of nonzero digits (144) gives a square (73702225 = 8585²).

The spelling of 10613120400 in words is "ten billion, six hundred thirteen million, one hundred twenty thousand, four hundred".