107206457746344 has 128 divisors (see below), whose sum is σ = 293530945046400. Its totient is φ = 32359136624640.

The previous prime is 107206457746327. The next prime is 107206457746361. The reversal of 107206457746344 is 443647754602701.

It is an interprime number because it is at equal distance from previous prime (107206457746327) and next prime (107206457746361).

It is a super-2 number, since 2×107206457746344² (a number of 29 digits) contains 22 as substring.

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, 229168872 + ... + 229636200.

It is an arithmetic number, because the mean of its divisors is an integer number (2293210508175).

Almost surely, 2^{107206457746344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107206457746344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146765472523200).

107206457746344 is an abundant number, since it is smaller than the sum of its proper divisors (186324487300056).

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

107206457746344 is a wasteful number, since it uses less digits than its factorization.

107206457746344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470763 (or 470759 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 60.

The spelling of 107206457746344 in words is "one hundred seven trillion, two hundred six billion, four hundred fifty-seven million, seven hundred forty-six thousand, three hundred forty-four".