107345770290 has 64 divisors (see below), whose sum is σ = 312278613120. Its totient is φ = 26023216320.

The previous prime is 107345770283. The next prime is 107345770319. The reversal of 107345770290 is 92077543701.

107345770290 is a `hidden beast` number, since 1 + 0 + 73 + 4 + 577 + 0 + 2 + 9 + 0 = 666.

It is a super-2 number, since 2×107345770290² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18068709 + ... + 18074648.

It is an arithmetic number, because the mean of its divisors is an integer number (4879353330).

Almost surely, 2^107345770290 is an apocalyptic number.

107345770290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107345770290 is an abundant number, since it is smaller than the sum of its proper divisors (204932842830).

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

107345770290 is a wasteful number, since it uses less digits than its factorization.

107345770290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36143384 (or 36143378 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 107345770290 in words is "one hundred seven billion, three hundred forty-five million, seven hundred seventy thousand, two hundred ninety".