107951985 has 24 divisors (see below), whose sum is σ = 187423080. Its totient is φ = 57480192.

The previous prime is 107951981. The next prime is 107951993. The reversal of 107951985 is 589159701.

It can be written as a sum of positive squares in 4 ways, for example, as 30371121 + 77580864 = 5511^2 + 8808^2 .

It is not a de Polignac number, because 107951985 - 2² = 107951981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 107951985.

It is not an unprimeable number, because it can be changed into a prime (107951981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32481 + ... + 35649.

It is an arithmetic number, because the mean of its divisors is an integer number (7809295).

Almost surely, 2^107951985 is an apocalyptic number.

107951985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107951985 is a deficient number, since it is larger than the sum of its proper divisors (79471095).

107951985 is a wasteful number, since it uses less digits than its factorization.

107951985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The square root of 107951985 is about 10389.9944658311. The cubic root of 107951985 is about 476.1497319242.

The spelling of 107951985 in words is "one hundred seven million, nine hundred fifty-one thousand, nine hundred eighty-five".