107242461 has 28 divisors (see below), whose sum is σ = 161986972. Its totient is φ = 70963776.

The previous prime is 107242451. The next prime is 107242501. The reversal of 107242461 is 164242701.

It can be written as a sum of positive squares in 2 ways, for example, as 16402500 + 90839961 = 4050^2 + 9531^2 .

It is not a de Polignac number, because 107242461 - 2⁶ = 107242397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107242451) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113985 + ... + 114921.

It is an arithmetic number, because the mean of its divisors is an integer number (5785249).

Almost surely, 2^107242461 is an apocalyptic number.

It is an amenable number.

107242461 is a deficient number, since it is larger than the sum of its proper divisors (54744511).

107242461 is an frugal number, since it uses more digits than its factorization.

107242461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107242461 is about 10355.7935958573. The cubic root of 107242461 is about 475.1042592932.

The spelling of 107242461 in words is "one hundred seven million, two hundred forty-two thousand, four hundred sixty-one".