109037323264 has 99 divisors (see below), whose sum is σ = 231926121453. Its totient is φ = 51227148288.

The previous prime is 109037323261. The next prime is 109037323277. The reversal of 109037323264 is 462323730901.

The square root of 109037323264 is 330208.

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., 84890649600 + 24146673664 = 291360^2 + 155392^2 .

It is a super-2 number, since 2×109037323264² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109037323261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179632849 + ... + 179633455.

Almost surely, 2^109037323264 is an apocalyptic number.

109037323264 is the 330208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109037323264

109037323264 is an abundant number, since it is smaller than the sum of its proper divisors (122888798189).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109037323264 is an frugal number, since it uses more digits than its factorization.

109037323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 109037323264 in words is "one hundred nine billion, thirty-seven million, three hundred twenty-three thousand, two hundred sixty-four".