100077016 has 32 divisors (see below), whose sum is σ = 203696640. Its totient is φ = 45819648.

The previous prime is 100076969. The next prime is 100077031. The reversal of 100077016 is 610770001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9420 + ... + 16996.

It is an arithmetic number, because the mean of its divisors is an integer number (6365520).

Almost surely, 2^100077016 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 100077016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101848320).

100077016 is an abundant number, since it is smaller than the sum of its proper divisors (103619624).

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

100077016 is a wasteful number, since it uses less digits than its factorization.

100077016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7723 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 100077016 is about 10003.8500588523. The cubic root of 100077016 is about 464.2780116524.

The spelling of 100077016 in words is "one hundred million, seventy-seven thousand, sixteen".