100825697440000 has 405 divisors, whose sum is σ = 272466138011529. Its totient is φ = 37208670720000.

The previous prime is 100825697439997. The next prime is 100825697440001. The reversal of 100825697440000 is 44796528001.

The square root of 100825697440000 is 10041200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 99588584030464 + 1237113409536 = 9979408^2 + 1112256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100825697440001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52214239035 + ... + 52214240965.

Almost surely, 2^{100825697440000} is an apocalyptic number.

100825697440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100825697440000 is the 10041200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100825697440000

100825697440000 is an abundant number, since it is smaller than the sum of its proper divisors (171640440571529).

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

100825697440000 is an frugal number, since it uses more digits than its factorization.

100825697440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 100825697440000 in words is "one hundred trillion, eight hundred twenty-five billion, six hundred ninety-seven million, four hundred forty thousand".