107187561 has 24 divisors (see below), whose sum is σ = 167086920. Its totient is φ = 65822976.

The previous prime is 107187547. The next prime is 107187583. The reversal of 107187561 is 165781701.

It is a happy number.

107187561 is a `hidden beast` number, since 10 + 7 + 1 + 87 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19184400 + 88003161 = 4380^2 + 9381^2 .

It is not a de Polignac number, because 107187561 - 2⁶ = 107187497 is a prime.

It is a super-2 number, since 2×107187561² = 22978346466257442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107187541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99735 + ... + 100803.

It is an arithmetic number, because the mean of its divisors is an integer number (6961955).

Almost surely, 2^107187561 is an apocalyptic number.

It is an amenable number.

107187561 is a deficient number, since it is larger than the sum of its proper divisors (59899359).

107187561 is a wasteful number, since it uses less digits than its factorization.

107187561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 107187561 is about 10353.1425663902. The cubic root of 107187561 is about 475.0231730154.

The spelling of 107187561 in words is "one hundred seven million, one hundred eighty-seven thousand, five hundred sixty-one".