101340960 has 96 divisors (see below), whose sum is σ = 364839552. Its totient is φ = 23162880.

The previous prime is 101340959. The next prime is 101340989. The reversal of 101340960 is 69043101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101340960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11721 + ... + 18440.

It is an arithmetic number, because the mean of its divisors is an integer number (3800412).

Almost surely, 2^101340960 is an apocalyptic number.

101340960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101340960 is an abundant number, since it is smaller than the sum of its proper divisors (263498592).

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

101340960 is a wasteful number, since it uses less digits than its factorization.

101340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30186 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101340960 is about 10066.8247228210. The cubic root of 101340960 is about 466.2244063989.

The spelling of 101340960 in words is "one hundred one million, three hundred forty thousand, nine hundred sixty".