100845460846152 has 384 divisors, whose sum is σ = 324164051568000. Its totient is φ = 28946294784000.

The previous prime is 100845460846127. The next prime is 100845460846177. The reversal of 100845460846152 is 251648064548001.

100845460846152 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 546 + 0 + 8 + 46 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (100845460846127) and next prime (100845460846177).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4346588152 + ... + 4346611352.

It is an arithmetic number, because the mean of its divisors is an integer number (844177217625).

Almost surely, 2^{100845460846152} is an apocalyptic number.

100845460846152 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 100845460846152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162082025784000).

100845460846152 is an abundant number, since it is smaller than the sum of its proper divisors (223318590721848).

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

100845460846152 is a wasteful number, since it uses less digits than its factorization.

100845460846152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32010 (or 31989 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 100845460846152 in words is "one hundred trillion, eight hundred forty-five billion, four hundred sixty million, eight hundred forty-six thousand, one hundred fifty-two".