107076960 has 288 divisors, whose sum is σ = 394849728. Its totient is φ = 26357760.

The previous prime is 107076947. The next prime is 107076967. The reversal of 107076960 is 69670701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107076960² = 22930950725683200, which contains 22 as substring.

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 (107076967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755330 + ... + 1755390.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^107076960 is an apocalyptic number.

107076960 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 107076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424864).

107076960 is an abundant number, since it is smaller than the sum of its proper divisors (287772768).

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

107076960 is a wasteful number, since it uses less digits than its factorization.

107076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107076960 is about 10347.7997661339. The cubic root of 107076960 is about 474.8597332835.

The spelling of 107076960 in words is "one hundred seven million, seventy-six thousand, nine hundred sixty".