100725069571344 has 1125 divisors, whose sum is σ = 334542362804661. Its totient is φ = 29251072097280.

The previous prime is 100725069571213. The next prime is 100725069571411. The reversal of 100725069571344 is 443175960527001.

The square root of 100725069571344 is 10036188.

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

100725069571344 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 5 + 0 + 69 + 571 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78419171811600 + 22305897759744 = 8855460^2 + 4722912^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 3249195792609 + ... + 3249195792639.

Almost surely, 2^{100725069571344} is an apocalyptic number.

100725069571344 is the 10036188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100725069571344

100725069571344 is an abundant number, since it is smaller than the sum of its proper divisors (233817293233317).

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

100725069571344 is an frugal number, since it uses more digits than its factorization.

100725069571344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 100725069571344 in words is "one hundred trillion, seven hundred twenty-five billion, sixty-nine million, five hundred seventy-one thousand, three hundred forty-four".