107661376 has 21 divisors (see below), whose sum is σ = 213805389. Its totient is φ = 53789184.

The previous prime is 107661361. The next prime is 107661377. The reversal of 107661376 is 673166701.

The square root of 107661376 is 10376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 107329600 + 331776 = 10360^2 + 576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107661377) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 82360 + ... + 83656.

It is an arithmetic number, because the mean of its divisors is an integer number (10181209).

Almost surely, 2^107661376 is an apocalyptic number.

107661376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107661376 is the 10376-th square number.

It is an amenable number.

107661376 is a deficient number, since it is larger than the sum of its proper divisors (106144013).

107661376 is an frugal number, since it uses more digits than its factorization.

107661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The cubic root of 107661376 is about 475.7220796011.

The spelling of 107661376 in words is "one hundred seven million, six hundred sixty-one thousand, three hundred seventy-six".