100853058432 has 256 divisors, whose sum is σ = 328114252800. Its totient is φ = 26816790528.

The previous prime is 100853058431. The next prime is 100853058457. The reversal of 100853058432 is 234850358001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100853058431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265444 + ... + 2309532.

It is an arithmetic number, because the mean of its divisors is an integer number (1281696300).

Almost surely, 2^100853058432 is an apocalyptic number.

100853058432 is a gapful number since it is divisible by the number (12) 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 100853058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164057126400).

100853058432 is an abundant number, since it is smaller than the sum of its proper divisors (227261194368).

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

100853058432 is a wasteful number, since it uses less digits than its factorization.

100853058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44173 (or 44161 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 100853058432 in words is "one hundred billion, eight hundred fifty-three million, fifty-eight thousand, four hundred thirty-two".