107611921 has 16 divisors (see below), whose sum is σ = 117503568. Its totient is φ = 98150400.

The previous prime is 107611891. The next prime is 107611927. The reversal of 107611921 is 129116701.

It can be written as a sum of positive squares in 8 ways, for example, as 49547521 + 58064400 = 7039^2 + 7620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107611921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107611921.

It is not an unprimeable number, because it can be changed into a prime (107611927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125731 + ... + 126583.

It is an arithmetic number, because the mean of its divisors is an integer number (7343973).

Almost surely, 2^107611921 is an apocalyptic number.

It is an amenable number.

107611921 is a deficient number, since it is larger than the sum of its proper divisors (9891647).

107611921 is a wasteful number, since it uses less digits than its factorization.

107611921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

The product of its (nonzero) digits is 756, while the sum is 28.

The square root of 107611921 is about 10373.6165824653. The cubic root of 107611921 is about 475.6492263655.

The spelling of 107611921 in words is "one hundred seven million, six hundred eleven thousand, nine hundred twenty-one".