100971216 has 60 divisors (see below), whose sum is σ = 291707520. Its totient is φ = 32569920.

The previous prime is 100971203. The next prime is 100971217. The reversal of 100971216 is 612179001.

It is a self number, because there is not a number n which added to its sum of digits gives 100971216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100971217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6846 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (4861792).

Almost surely, 2^100971216 is an apocalyptic number.

100971216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100971216 is an abundant number, since it is smaller than the sum of its proper divisors (190736304).

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

100971216 is a wasteful number, since it uses less digits than its factorization.

100971216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22664 (or 22655 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 100971216 is about 10048.4434615516. The cubic root of 100971216 is about 465.6567065237.

The spelling of 100971216 in words is "one hundred million, nine hundred seventy-one thousand, two hundred sixteen".