101496960 has 192 divisors, whose sum is σ = 357065280. Its totient is φ = 26560512.

The previous prime is 101496959. The next prime is 101496971. The reversal of 101496960 is 69694101.

101496960 is a `hidden beast` number, since 101 + 496 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385789 + ... + 386051.

It is an arithmetic number, because the mean of its divisors is an integer number (1859715).

Almost surely, 2^101496960 is an apocalyptic number.

101496960 is a gapful number since it is divisible by the number (10) 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 101496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178532640).

101496960 is an abundant number, since it is smaller than the sum of its proper divisors (255568320).

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

101496960 is a wasteful number, since it uses less digits than its factorization.

101496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101496960 is about 10074.5699660085. The cubic root of 101496960 is about 466.4635124807.

The spelling of 101496960 in words is "one hundred one million, four hundred ninety-six thousand, nine hundred sixty".