107917965 has 12 divisors (see below), whose sum is σ = 187057884. Its totient is φ = 57556224.

The previous prime is 107917963. The next prime is 107917991. The reversal of 107917965 is 569719701.

It can be written as a sum of positive squares in 2 ways, for example, as 62678889 + 45239076 = 7917^2 + 6726^2 .

It is not a de Polignac number, because 107917965 - 2¹ = 107917963 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2398177 = 107917965 / (1 + 0 + 7 + 9 + 1 + 7 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 107917965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107917963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1199044 + ... + 1199133.

It is an arithmetic number, because the mean of its divisors is an integer number (15588157).

Almost surely, 2^107917965 is an apocalyptic number.

107917965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107917965 is a deficient number, since it is larger than the sum of its proper divisors (79139919).

107917965 is a wasteful number, since it uses less digits than its factorization.

107917965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398188 (or 2398185 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 107917965 is about 10388.3571848488. The cubic root of 107917965 is about 476.0997087101.

It can be divided in two parts, 1079 and 17965, that added together give a square (19044 = 138²).

The spelling of 107917965 in words is "one hundred seven million, nine hundred seventeen thousand, nine hundred sixty-five".