107517725055 has 128 divisors (see below), whose sum is σ = 209415628800. Its totient is φ = 52017748992.

The previous prime is 107517725053. The next prime is 107517725101. The reversal of 107517725055 is 550527715701.

107517725055 is a `hidden beast` number, since 1 + 0 + 75 + 1 + 7 + 72 + 505 + 5 = 666.

It is not a de Polignac number, because 107517725055 - 2¹ = 107517725053 is a prime.

It is a super-2 number, since 2×107517725055² (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 self number, because there is not a number n which added to its sum of digits gives 107517725055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107517725053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66905062 + ... + 66906668.

It is an arithmetic number, because the mean of its divisors is an integer number (1636059600).

Almost surely, 2^107517725055 is an apocalyptic number.

107517725055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107517725055 is a deficient number, since it is larger than the sum of its proper divisors (101897903745).

107517725055 is a wasteful number, since it uses less digits than its factorization.

107517725055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 428750, while the sum is 45.

The spelling of 107517725055 in words is "one hundred seven billion, five hundred seventeen million, seven hundred twenty-five thousand, fifty-five".