100958445604864 has 117 divisors (see below), whose sum is σ = 213103199028843. Its totient is φ = 47816634064896.

The previous prime is 100958445604829. The next prime is 100958445604949. The reversal of 100958445604864 is 468406544859001.

The square root of 100958445604864 is 10047808.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100958445604796 and 100958445604805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12218130397 + ... + 12218138659.

Almost surely, 2^{100958445604864} is an apocalyptic number.

100958445604864 is the 10047808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100958445604864

100958445604864 is an abundant number, since it is smaller than the sum of its proper divisors (112144753423979).

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

100958445604864 is an frugal number, since it uses more digits than its factorization.

100958445604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16588 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 64.

100958445604864 divided by its sum of digits (64) gives a square (1577475712576 = 1255976²).

The spelling of 100958445604864 in words is "one hundred trillion, nine hundred fifty-eight billion, four hundred forty-five million, six hundred four thousand, eight hundred sixty-four".