107005965 has 32 divisors (see below), whose sum is σ = 188652672. Its totient is φ = 51360000.

The previous prime is 107005957. The next prime is 107006047. The reversal of 107005965 is 569500701.

It is not a de Polignac number, because 107005965 - 2³ = 107005957 is a prime.

It is a super-2 number, since 2×107005965² = 22900553091162450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 13455 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (5895396).

Almost surely, 2^107005965 is an apocalyptic number.

107005965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107005965 is a deficient number, since it is larger than the sum of its proper divisors (81646707).

107005965 is a wasteful number, since it uses less digits than its factorization.

107005965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 107005965 is about 10344.3687579282. The cubic root of 107005965 is about 474.7547616807.

The spelling of 107005965 in words is "one hundred seven million, five thousand, nine hundred sixty-five".