10102662144 has 165 divisors, whose sum is σ = 30255214737. Its totient is φ = 3357904896.

The previous prime is 10102662139. The next prime is 10102662179. The reversal of 10102662144 is 44126620101.

The square root of 10102662144 is 100512.

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

10102662144 is a `hidden beast` number, since 1 + 0 + 10 + 26 + 621 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7415276544 + 2687385600 = 86112^2 + 51840^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28947282 + ... + 28947630.

Almost surely, 2^10102662144 is an apocalyptic number.

10102662144 is the 100512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102662144

10102662144 is an abundant number, since it is smaller than the sum of its proper divisors (20152552593).

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

10102662144 is an frugal number, since it uses more digits than its factorization.

10102662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 10102662144 by its product of nonzero digits (2304), we get a square (23276533579776 = 4824576²).

10102662144 divided by its product of nonzero digits (2304) gives a square (4384836 = 2094²).

The spelling of 10102662144 in words is "ten billion, one hundred two million, six hundred sixty-two thousand, one hundred forty-four".