100889789116032 has 768 divisors, whose sum is σ = 337768326604800. Its totient is φ = 28311441186816.

The previous prime is 100889789116007. The next prime is 100889789116057. The reversal of 100889789116032 is 230611987988001.

100889789116032 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 8 + 9 + 7 + 8 + 9 + 11 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100889789116007) and next prime (100889789116057).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154501973818 + ... + 154501974470.

It is an arithmetic number, because the mean of its divisors is an integer number (439802508600).

Almost surely, 2^{100889789116032} is an apocalyptic number.

100889789116032 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 100889789116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168884163302400).

100889789116032 is an abundant number, since it is smaller than the sum of its proper divisors (236878537488768).

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

100889789116032 is a wasteful number, since it uses less digits than its factorization.

100889789116032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 100889789116032 in words is "one hundred trillion, eight hundred eighty-nine billion, seven hundred eighty-nine million, one hundred sixteen thousand, thirty-two".