100616516 has 72 divisors (see below), whose sum is σ = 237835584. Its totient is φ = 36167040.

The previous prime is 100616507. The next prime is 100616521. The reversal of 100616516 is 615616001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51086 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (3303272).

Almost surely, 2^100616516 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 100616516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118917792).

100616516 is an abundant number, since it is smaller than the sum of its proper divisors (137219068).

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

100616516 is a wasteful number, since it uses less digits than its factorization.

100616516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 100616516 is about 10030.7784343988. The cubic root of 100616516 is about 465.1108010520.

It can be divided in two parts, 100 and 616516, that added together give a palindrome (616616).

The spelling of 100616516 in words is "one hundred million, six hundred sixteen thousand, five hundred sixteen".