107770384656 has 225 divisors, whose sum is σ = 343266924693. Its totient is φ = 32618298240.

The previous prime is 107770384643. The next prime is 107770384661. The reversal of 107770384656 is 656483077701.

The square root of 107770384656 is 328284.

It is a perfect power (a square), and thus also a powerful number.

107770384656 is a `hidden beast` number, since 10 + 77 + 70 + 38 + 465 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62042839056 + 45727545600 = 249084^2 + 213840^2 .

It is a super-2 number, since 2×107770384656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130000050 + ... + 130000878.

Almost surely, 2^107770384656 is an apocalyptic number.

107770384656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107770384656 is the 328284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107770384656

107770384656 is an abundant number, since it is smaller than the sum of its proper divisors (235496540037).

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

107770384656 is an frugal number, since it uses more digits than its factorization.

107770384656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 107770384656 in words is "one hundred seven billion, seven hundred seventy million, three hundred eighty-four thousand, six hundred fifty-six".