100853290944 has 224 divisors, whose sum is σ = 343138150400. Its totient is φ = 28450206720.

The previous prime is 100853290913. The next prime is 100853290961. The reversal of 100853290944 is 449092358001.

100853290944 is a `hidden beast` number, since 100 + 8 + 532 + 9 + 0 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×100853290944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100853290944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902814 + ... + 1008354.

Almost surely, 2^100853290944 is an apocalyptic number.

100853290944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100853290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171569075200).

100853290944 is an abundant number, since it is smaller than the sum of its proper divisors (242284859456).

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

100853290944 is a wasteful number, since it uses less digits than its factorization.

100853290944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105648 (or 105632 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 100853290944 in words is "one hundred billion, eight hundred fifty-three million, two hundred ninety thousand, nine hundred forty-four".