101325724980624 has 75 divisors (see below), whose sum is σ = 293267093895633. Its totient is φ = 33775120867392.

The previous prime is 101325724980563. The next prime is 101325724980637. The reversal of 101325724980624 is 426089427523101.

It is a happy number.

The square root of 101325724980624 is 10066068.

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

101325724980624 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 5 + 7 + 2 + 4 + 9 + 8 + 0 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92698769120400 + 8626955860224 = 9628020^2 + 2937168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 362238642 + ... + 362518254.

It is a 1-persistent number, because it is pandigital, but 2⋅101325724980624 = 202651449961248 is not.

Almost surely, 2^{101325724980624} is an apocalyptic number.

101325724980624 is the 10066068-th square number.

It is an amenable number.

101325724980624 is an abundant number, since it is smaller than the sum of its proper divisors (191941368915009).

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

101325724980624 is an frugal number, since it uses more digits than its factorization.

101325724980624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559246 (or 279618 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 101325724980624 in words is "one hundred one trillion, three hundred twenty-five billion, seven hundred twenty-four million, nine hundred eighty thousand, six hundred twenty-four".