107683776 has 112 divisors (see below), whose sum is σ = 320222880. Its totient is φ = 35481600.

The previous prime is 107683711. The next prime is 107683777. The reversal of 107683776 is 677386701.

It is a happy number.

It is a super-2 number, since 2×107683776² = 23191591227236352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107683777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174220 + ... + 174836.

Almost surely, 2^107683776 is an apocalyptic number.

107683776 is a gapful number since it is divisible by the number (16) 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 107683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160111440).

107683776 is an abundant number, since it is smaller than the sum of its proper divisors (212539104).

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

107683776 is a wasteful number, since it uses less digits than its factorization.

107683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 107683776 is about 10377.0793578926. The cubic root of 107683776 is about 475.7550701870.

The spelling of 107683776 in words is "one hundred seven million, six hundred eighty-three thousand, seven hundred seventy-six".