100665156060 has 288 divisors, whose sum is σ = 361945584000. Its totient is φ = 22631132160.

The previous prime is 100665156047. The next prime is 100665156083. The reversal of 100665156060 is 60651566001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3752776 + ... + 3779504.

It is an arithmetic number, because the mean of its divisors is an integer number (1256755500).

Almost surely, 2^100665156060 is an apocalyptic number.

100665156060 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 100665156060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180972792000).

100665156060 is an abundant number, since it is smaller than the sum of its proper divisors (261280427940).

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

100665156060 is a wasteful number, since it uses less digits than its factorization.

100665156060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26826 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 100665156060 in words is "one hundred billion, six hundred sixty-five million, one hundred fifty-six thousand, sixty".