10621363600 has 45 divisors (see below), whose sum is σ = 25522779043. Its totient is φ = 4247720960.

The previous prime is 10621363579. The next prime is 10621363601. The reversal of 10621363600 is 636312601.

The square root of 10621363600 is 103060.

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

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 10620539136 = 908^2 + 103056^2 .

It is a super-2 number, since 2×10621363600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10621363601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2058624 + ... + 2063776.

Almost surely, 2^10621363600 is an apocalyptic number.

10621363600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10621363600 is the 103060-th square number.

It is an amenable number.

10621363600 is an abundant number, since it is smaller than the sum of its proper divisors (14901415443).

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

10621363600 is an frugal number, since it uses more digits than its factorization.

10621363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 10621363600 in words is "ten billion, six hundred twenty-one million, three hundred sixty-three thousand, six hundred".