107952009 has 16 divisors (see below), whose sum is σ = 157511424. Its totient is φ = 65221200.

The previous prime is 107951993. The next prime is 107952011. The reversal of 107952009 is 900259701.

It is not a de Polignac number, because 107952009 - 2⁴ = 107951993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (107952029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5982 + ... + 15864.

It is an arithmetic number, because the mean of its divisors is an integer number (9844464).

Almost surely, 2^107952009 is an apocalyptic number.

It is an amenable number.

107952009 is a deficient number, since it is larger than the sum of its proper divisors (49559415).

107952009 is a wasteful number, since it uses less digits than its factorization.

107952009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228.

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 107952009 is about 10389.9956207883. The cubic root of 107952009 is about 476.1497672103.

The spelling of 107952009 in words is "one hundred seven million, nine hundred fifty-two thousand, nine".