107062457616 has 225 divisors, whose sum is σ = 317161427583. Its totient is φ = 34866858240.

The previous prime is 107062457609. The next prime is 107062457647. The reversal of 107062457616 is 616754260701.

The square root of 107062457616 is 327204.

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

107062457616 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 6 + 24 + 5 + 7 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79639097616 + 27423360000 = 282204^2 + 165600^2 .

It is a super-2 number, since 2×107062457616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 718539910 + ... + 718540058.

Almost surely, 2^107062457616 is an apocalyptic number.

107062457616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107062457616 is the 327204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107062457616

107062457616 is an abundant number, since it is smaller than the sum of its proper divisors (210098969967).

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

107062457616 is an frugal number, since it uses more digits than its factorization.

107062457616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 107062457616 in words is "one hundred seven billion, sixty-two million, four hundred fifty-seven thousand, six hundred sixteen".