107122464 has 72 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 35583360.

The previous prime is 107122397. The next prime is 107122471. The reversal of 107122464 is 464221701.

107122464 = T₁ + T₂ + ... + T₈₆₂.

107122464 is a nontrivial binomial coefficient, being equal to C(864, 3).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107122464² = 22950444586862592, which contains 22 as substring.

It is an unprimeable number.

It is the 862-nd tetrahedral 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 11 ways as a sum of consecutive naturals, for example, 123697 + ... + 124559.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2^107122464 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 107122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

107122464 is an abundant number, since it is smaller than the sum of its proper divisors (198567648).

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

107122464 is a wasteful number, since it uses less digits than its factorization.

107122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107122464 is about 10349.9982608694. The cubic root of 107122464 is about 474.9269900713.

The spelling of 107122464 in words is "one hundred seven million, one hundred twenty-two thousand, four hundred sixty-four".