107070965089 has 27 divisors (see below), whose sum is σ = 119078580243. Its totient is φ = 96201798000.

The previous prime is 107070965063. The next prime is 107070965123. The reversal of 107070965089 is 980569070701.

It is a happy number.

The square root of 107070965089 is 327217.

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., 104907971025 + 2162994064 = 323895^2 + 46508^2 .

It is not a de Polignac number, because 107070965089 - 2¹⁹ = 107070440801 is a prime.

It is a super-2 number, since 2×107070965089² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107070960089) 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, 543507339 + ... + 543507535.

Almost surely, 2^107070965089 is an apocalyptic number.

107070965089 is the 327217-th square number.

107070965089 is the 163609-th centered octagonal number.

It is an amenable number.

107070965089 is a deficient number, since it is larger than the sum of its proper divisors (12007615154).

107070965089 is an frugal number, since it uses more digits than its factorization.

107070965089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 52.

The spelling of 107070965089 in words is "one hundred seven billion, seventy million, nine hundred sixty-five thousand, eighty-nine".