107723641 has 9 divisors (see below), whose sum is σ = 109872399. Its totient is φ = 105616704.

The previous prime is 107723639. The next prime is 107723653. The reversal of 107723641 is 146327701.

The square root of 107723641 is 10379.

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., 48372025 + 59351616 = 6955^2 + 7704^2 .

It is not a de Polignac number, because 107723641 - 2¹ = 107723639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107721641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1006710 + ... + 1006816.

Almost surely, 2^107723641 is an apocalyptic number.

107723641 is the 10379-th square number.

107723641 is the 5190-th centered octagonal number.

It is an amenable number.

107723641 is a deficient number, since it is larger than the sum of its proper divisors (2148758).

107723641 is an frugal number, since it uses more digits than its factorization.

107723641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The cubic root of 107723641 is about 475.8137718059.

Multiplying 107723641 by its product of nonzero digits (7056), we get a square (760098010896 = 871836²).

The spelling of 107723641 in words is "one hundred seven million, seven hundred twenty-three thousand, six hundred forty-one".