100601111160 has 512 divisors, whose sum is σ = 372433075200. Its totient is φ = 23952015360.

The previous prime is 100601111111. The next prime is 100601111227. The reversal of 100601111160 is 61111106001.

100601111160 is a `hidden beast` number, since 1 + 0 + 0 + 601 + 1 + 1 + 1 + 1 + 60 = 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 127 ways as a sum of consecutive naturals, for example, 183914007 + ... + 183914553.

It is an arithmetic number, because the mean of its divisors is an integer number (727408350).

Almost surely, 2^100601111160 is an apocalyptic number.

100601111160 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 100601111160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186216537600).

100601111160 is an abundant number, since it is smaller than the sum of its proper divisors (271831964040).

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

100601111160 is a wasteful number, since it uses less digits than its factorization.

100601111160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

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

Adding to 100601111160 its reverse (61111106001), we get a palindrome (161712217161).

The spelling of 100601111160 in words is "one hundred billion, six hundred one million, one hundred eleven thousand, one hundred sixty".