100716616 has 64 divisors (see below), whose sum is σ = 253572480. Its totient is φ = 36218880.

The previous prime is 100716601. The next prime is 100716617. The reversal of 100716616 is 616617001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (100716617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 14296.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070).

Almost surely, 2^100716616 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 100716616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126786240).

100716616 is an abundant number, since it is smaller than the sum of its proper divisors (152855864).

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

100716616 is a wasteful number, since it uses less digits than its factorization.

100716616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 100716616 is about 10035.7668366697. The cubic root of 100716616 is about 465.2649909804.

The spelling of 100716616 in words is "one hundred million, seven hundred sixteen thousand, six hundred sixteen".