101913984 has 128 divisors (see below), whose sum is σ = 309304800. Its totient is φ = 33011712.

The previous prime is 101913983. The next prime is 101914013. The reversal of 101913984 is 489319101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101913983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127474 + ... + 128270.

Almost surely, 2^101913984 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 101913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154652400).

101913984 is an abundant number, since it is smaller than the sum of its proper divisors (207390816).

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

101913984 is an equidigital number, since it uses as much as digits as its factorization.

101913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 101913984 is about 10095.2456136540. The cubic root of 101913984 is about 467.1014976549.

The spelling of 101913984 in words is "one hundred one million, nine hundred thirteen thousand, nine hundred eighty-four".