107025224292945 has 160 divisors (see below), whose sum is σ = 226346096756736. Its totient is φ = 47344835404800.

The previous prime is 107025224292901. The next prime is 107025224292967. The reversal of 107025224292945 is 549292422520701.

107025224292945 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 522 + 4 + 29 + 2 + 94 + 5 = 666.

It is not a de Polignac number, because 107025224292945 - 2¹⁸ = 107025224030801 is a prime.

It is a super-2 number, since 2×107025224292945² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107025224292891 and 107025224292900.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2754032815 + ... + 2754071675.

Almost surely, 2^{107025224292945} is an apocalyptic number.

107025224292945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107025224292945 is an abundant number, since it is smaller than the sum of its proper divisors (119320872463791).

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

107025224292945 is a wasteful number, since it uses less digits than its factorization.

107025224292945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70253 (or 70244 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 107025224292945 in words is "one hundred seven trillion, twenty-five billion, two hundred twenty-four million, two hundred ninety-two thousand, nine hundred forty-five".