101916384 has 24 divisors (see below), whose sum is σ = 267530760. Its totient is φ = 33972096.

The previous prime is 101916383. The next prime is 101916413. The reversal of 101916384 is 483619101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×101916384³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101916383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 530719 + ... + 530910.

It is an arithmetic number, because the mean of its divisors is an integer number (11147115).

Almost surely, 2^101916384 is an apocalyptic number.

It is an amenable number.

101916384 is an abundant number, since it is smaller than the sum of its proper divisors (165614376).

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

101916384 is a wasteful number, since it uses less digits than its factorization.

101916384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061642 (or 1061634 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 101916384 is about 10095.3644807902. The cubic root of 101916384 is about 467.1051642593.

The spelling of 101916384 in words is "one hundred one million, nine hundred sixteen thousand, three hundred eighty-four".