100611106100 has 72 divisors (see below), whose sum is σ = 221736641280. Its totient is φ = 39616600320.

The previous prime is 100611106093. The next prime is 100611106111. The reversal of 100611106100 is 1601116001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11781032 + ... + 11789568.

Almost surely, 2^100611106100 is an apocalyptic number.

100611106100 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 100611106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110868320640).

100611106100 is an abundant number, since it is smaller than the sum of its proper divisors (121125535180).

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

100611106100 is a wasteful number, since it uses less digits than its factorization.

100611106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10377 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Subtracting from 100611106100 its reverse (1601116001), we obtain a palindrome (99009990099).

The spelling of 100611106100 in words is "one hundred billion, six hundred eleven million, one hundred six thousand, one hundred".