109885762334881 has 27 divisors (see below), whose sum is σ = 124390627180659. Its totient is φ = 97020113038992.

The previous prime is 109885762334869. The next prime is 109885762334917. The reversal of 109885762334881 is 188433267588901.

It is a happy number.

The square root of 109885762334881 is 10482641.

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., 16255290286225 + 93630472048656 = 4031785^2 + 9676284^2 .

It is not a de Polignac number, because 109885762334881 - 2⁵ = 109885762334849 is a prime.

It is a super-2 number, since 2×109885762334881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109885762334281) 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, 3134292130 + ... + 3134327188.

It is a 1-persistent number, because it is pandigital, but 2⋅109885762334881 = 219771524669762 is not.

Almost surely, 2^{109885762334881} is an apocalyptic number.

109885762334881 is the 10482641-st square number.

109885762334881 is the 5241321-st centered octagonal number.

It is an amenable number.

109885762334881 is a deficient number, since it is larger than the sum of its proper divisors (14504864845778).

109885762334881 is an frugal number, since it uses more digits than its factorization.

109885762334881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70190 (or 35095 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 73.

The spelling of 109885762334881 in words is "one hundred nine trillion, eight hundred eighty-five billion, seven hundred sixty-two million, three hundred thirty-four thousand, eight hundred eighty-one".