107100960 has 96 divisors (see below), whose sum is σ = 345280320. Its totient is φ = 27890688.

The previous prime is 107100953. The next prime is 107101019. The reversal of 107100960 is 69001701.

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

It is a super-2 number, since 2×107100960² = 22941231265843200, which contains 22 as substring.

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 107100960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18046 + ... + 23234.

It is an arithmetic number, because the mean of its divisors is an integer number (3596670).

Almost surely, 2^107100960 is an apocalyptic number.

107100960 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 107100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172640160).

107100960 is an abundant number, since it is smaller than the sum of its proper divisors (238179360).

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

107100960 is a wasteful number, since it uses less digits than its factorization.

107100960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 107100960 is about 10348.9593679751. The cubic root of 107100960 is about 474.8952086469.

The spelling of 107100960 in words is "one hundred seven million, one hundred thousand, nine hundred sixty".