107337485376 has 567 divisors, whose sum is σ = 364226933343. Its totient is φ = 30193827840.

The previous prime is 107337485267. The next prime is 107337485377. The reversal of 107337485376 is 673584733701.

The square root of 107337485376 is 327624.

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

107337485376 is a `hidden beast` number, since 1 + 0 + 7 + 33 + 74 + 8 + 537 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13554547776 + 93782937600 = 116424^2 + 306240^2 .

It is a super-2 number, since 2×107337485376² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107337485377) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1470376476 + ... + 1470376548.

Almost surely, 2^107337485376 is an apocalyptic number.

107337485376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107337485376 is the 327624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107337485376

107337485376 is an abundant number, since it is smaller than the sum of its proper divisors (256889447967).

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

107337485376 is a wasteful number, since it uses less digits than its factorization.

107337485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 107337485376 in words is "one hundred seven billion, three hundred thirty-seven million, four hundred eighty-five thousand, three hundred seventy-six".