100511655116004 has 288 divisors, whose sum is σ = 283715941017600. Its totient is φ = 29741628314880.

The previous prime is 100511655115853. The next prime is 100511655116023. The reversal of 100511655116004 is 400611556115001.

100511655116004 is a `hidden beast` number, since 10 + 0 + 5 + 11 + 65 + 511 + 60 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100511655116004.

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, 30841254927 + ... + 30841258185.

It is an arithmetic number, because the mean of its divisors is an integer number (985124795200).

Almost surely, 2^{100511655116004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100511655116004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141857970508800).

100511655116004 is an abundant number, since it is smaller than the sum of its proper divisors (183204285901596).

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

100511655116004 is a wasteful number, since it uses less digits than its factorization.

100511655116004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 100511655116004 in words is "one hundred trillion, five hundred eleven billion, six hundred fifty-five million, one hundred sixteen thousand, four".