107735013 has 48 divisors (see below), whose sum is σ = 170287104. Its totient is φ = 65435040.

The previous prime is 107735011. The next prime is 107735041. The reversal of 107735013 is 310537701.

It is not a de Polignac number, because 107735013 - 2¹ = 107735011 is a prime.

It is a super-2 number, since 2×107735013² = 23213666052220338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107735011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660870 + ... + 661032.

It is an arithmetic number, because the mean of its divisors is an integer number (3547648).

Almost surely, 2^107735013 is an apocalyptic number.

It is an amenable number.

107735013 is a deficient number, since it is larger than the sum of its proper divisors (62552091).

107735013 is a wasteful number, since it uses less digits than its factorization.

107735013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 107735013 is about 10379.5478225210. The cubic root of 107735013 is about 475.8305145369.

The spelling of 107735013 in words is "one hundred seven million, seven hundred thirty-five thousand, thirteen".