100106060111100 has 108 divisors (see below), whose sum is σ = 313779202496760. Its totient is φ = 26694752112000.

The previous prime is 100106060111023. The next prime is 100106060111237. The reversal of 100106060111100 is 1111060601001.

100106060111100 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 60 + 601 + 1 + 1 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153440386 + ... + 154091414.

Almost surely, 2^{100106060111100} is an apocalyptic number.

100106060111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100106060111100 is an abundant number, since it is smaller than the sum of its proper divisors (213673142385660).

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

100106060111100 is a wasteful number, since it uses less digits than its factorization.

100106060111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821900 (or 821890 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100106060111100 in words is "one hundred trillion, one hundred six billion, sixty million, one hundred eleven thousand, one hundred".