100842099891504 has 160 divisors (see below), whose sum is σ = 278706752001216. Its totient is φ = 31307179622400.

The previous prime is 100842099891413. The next prime is 100842099891509. The reversal of 100842099891504 is 405198990248001.

100842099891504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100842099891504² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100842099891509) 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, 783619614 + ... + 783748290.

Almost surely, 2^{100842099891504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100842099891504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139353376000608).

100842099891504 is an abundant number, since it is smaller than the sum of its proper divisors (177864652109712).

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

100842099891504 is a wasteful number, since it uses less digits than its factorization.

100842099891504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138703 (or 138697 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 100842099891504 in words is "one hundred trillion, eight hundred forty-two billion, ninety-nine million, eight hundred ninety-one thousand, five hundred four".