100364616 has 128 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 29802240.

The previous prime is 100364611. The next prime is 100364633. The reversal of 100364616 is 616463001.

100364616 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 646 + 16 = 666.

It is a super-2 number, since 2×100364616² = 20146112289654912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100364616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100364611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125530 + ... + 126326.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^100364616 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 100364616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

100364616 is an abundant number, since it is smaller than the sum of its proper divisors (209897784).

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

100364616 is a wasteful number, since it uses less digits than its factorization.

100364616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100364616 is about 10018.2142121238. The cubic root of 100364616 is about 464.7223316257.

The spelling of 100364616 in words is "one hundred million, three hundred sixty-four thousand, six hundred sixteen".