100842188265000 has 1920 divisors, whose sum is σ = 434575171430400. Its totient is φ = 20543569920000.

The previous prime is 100842188264959. The next prime is 100842188265017. The reversal of 100842188265000 is 562881248001.

100842188265000 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 42 + 1 + 88 + 26 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 97620704484 + ... + 97620705516.

It is an arithmetic number, because the mean of its divisors is an integer number (226341235120).

Almost surely, 2^{100842188265000} is an apocalyptic number.

100842188265000 is a gapful number since it is divisible by the number (10) 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 100842188265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217287585715200).

100842188265000 is an abundant number, since it is smaller than the sum of its proper divisors (333732983165400).

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

100842188265000 is a wasteful number, since it uses less digits than its factorization.

100842188265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 100842188265000 in words is "one hundred trillion, eight hundred forty-two billion, one hundred eighty-eight million, two hundred sixty-five thousand".