107779056 has 160 divisors (see below), whose sum is σ = 351453696. Its totient is φ = 27878400.

The previous prime is 107778959. The next prime is 107779057. The reversal of 107779056 is 650977701.

It is a super-2 number, since 2×107779056² = 23232649824502272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 107778999 and 107779017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107779057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447096 + ... + 447336.

Almost surely, 2^107779056 is an apocalyptic number.

107779056 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 107779056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175726848).

107779056 is an abundant number, since it is smaller than the sum of its proper divisors (243674640).

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

107779056 is a wasteful number, since it uses less digits than its factorization.

107779056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 107779056 is about 10381.6692299456. The cubic root of 107779056 is about 475.8953469054.

The spelling of 107779056 in words is "one hundred seven million, seven hundred seventy-nine thousand, fifty-six".