107099330625 has 480 divisors, whose sum is σ = 257700009600. Its totient is φ = 43545600000.

The previous prime is 107099330621. The next prime is 107099330647. The reversal of 107099330625 is 526033990701.

107099330625 is a `hidden beast` number, since 10 + 7 + 0 + 9 + 9 + 3 + 3 + 0 + 625 = 666.

It is not a de Polignac number, because 107099330625 - 2² = 107099330621 is a prime.

It is a super-2 number, since 2×107099330625² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107099330621) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 267080425 + ... + 267080825.

It is an arithmetic number, because the mean of its divisors is an integer number (536875020).

Almost surely, 2^107099330625 is an apocalyptic number.

107099330625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107099330625 is an abundant number, since it is smaller than the sum of its proper divisors (150600678975).

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

107099330625 is a wasteful number, since it uses less digits than its factorization.

107099330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 107099330625 in words is "one hundred seven billion, ninety-nine million, three hundred thirty thousand, six hundred twenty-five".