107647641409 has 27 divisors (see below), whose sum is σ = 137673863523. Its totient is φ = 83861593200.

The previous prime is 107647641407. The next prime is 107647641427. The reversal of 107647641409 is 904146746701.

It is a happy number.

The square root of 107647641409 is 328097.

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., 104040437809 + 3607203600 = 322553^2 + 60060^2 .

It is not a de Polignac number, because 107647641409 - 2¹ = 107647641407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (107647641407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25261339 + ... + 25265599.

Almost surely, 2^107647641409 is an apocalyptic number.

107647641409 is the 328097-th square number.

107647641409 is the 164049-th centered octagonal number.

It is an amenable number.

107647641409 is a deficient number, since it is larger than the sum of its proper divisors (30026222114).

107647641409 is an frugal number, since it uses more digits than its factorization.

107647641409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 107647641409 by its sum of digits (49), we get a square (5274734429041 = 2296679²).

107647641409 divided by its sum of digits (49) gives a square (2196890641 = 46871²).

The spelling of 107647641409 in words is "one hundred seven billion, six hundred forty-seven million, six hundred forty-one thousand, four hundred nine".