100837207087638 has 96 divisors (see below), whose sum is σ = 235486779228000. Its totient is φ = 28701844770816.

The previous prime is 100837207087583. The next prime is 100837207087649. The reversal of 100837207087638 is 836780702738001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2081282038 + ... + 2081330486.

It is an arithmetic number, because the mean of its divisors is an integer number (2452987283625).

Almost surely, 2^{100837207087638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100837207087638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117743389614000).

100837207087638 is an abundant number, since it is smaller than the sum of its proper divisors (134649572140362).

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

100837207087638 is a wasteful number, since it uses less digits than its factorization.

100837207087638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75054 (or 75047 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 100837207087638 in words is "one hundred trillion, eight hundred thirty-seven billion, two hundred seven million, eighty-seven thousand, six hundred thirty-eight".