100965312 has 224 divisors, whose sum is σ = 359907840. Its totient is φ = 27095040.

The previous prime is 100965289. The next prime is 100965313. The reversal of 100965312 is 213569001.

100965312 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 653 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100965313) 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, 205387 + ... + 205877.

Almost surely, 2^100965312 is an apocalyptic number.

100965312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179953920).

100965312 is an abundant number, since it is smaller than the sum of its proper divisors (258942528).

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

100965312 is a wasteful number, since it uses less digits than its factorization.

100965312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100965312 is about 10048.1496804138. The cubic root of 100965312 is about 465.6476303702.

The spelling of 100965312 in words is "one hundred million, nine hundred sixty-five thousand, three hundred twelve".