107050513 has 24 divisors (see below), whose sum is σ = 120356280. Its totient is φ = 95047680.

The previous prime is 107050501. The next prime is 107050519. The reversal of 107050513 is 315050701.

It can be written as a sum of positive squares in 12 ways, for example, as 2765569 + 104284944 = 1663^2 + 10212^2 .

It is not a de Polignac number, because 107050513 - 2²⁵ = 73496081 is a prime.

It is a super-2 number, since 2×107050513² = 22919624667126338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107050519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444073 + ... + 444313.

It is an arithmetic number, because the mean of its divisors is an integer number (5014845).

Almost surely, 2^107050513 is an apocalyptic number.

It is an amenable number.

107050513 is a deficient number, since it is larger than the sum of its proper divisors (13305767).

107050513 is a wasteful number, since it uses less digits than its factorization.

107050513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 107050513 is about 10346.5217827055. The cubic root of 107050513 is about 474.8206347713.

The spelling of 107050513 in words is "one hundred seven million, fifty thousand, five hundred thirteen".