107886464 has 48 divisors (see below), whose sum is σ = 246344280. Its totient is φ = 46103808.

The previous prime is 107886463. The next prime is 107886469. The reversal of 107886464 is 464688701.

It is a super-2 number, since 2×107886464² = 23278978228846592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107886461) 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 5 ways as a sum of consecutive naturals, for example, 310739 + ... + 311085.

Almost surely, 2^107886464 is an apocalyptic number.

107886464 is a gapful number since it is divisible by the number (14) 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 107886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123172140).

107886464 is an abundant number, since it is smaller than the sum of its proper divisors (138457816).

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

107886464 is an frugal number, since it uses more digits than its factorization.

107886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 107886464 is about 10386.8409056845. The cubic root of 107886464 is about 476.0533800739.

The spelling of 107886464 in words is "one hundred seven million, eight hundred eighty-six thousand, four hundred sixty-four".