105220332023504 has 40 divisors (see below), whose sum is σ = 209396243762568. Its totient is φ = 51182890536960.

The previous prime is 105220332023501. The next prime is 105220332023603. The reversal of 105220332023504 is 405320233022501.

It can be written as a sum of positive squares in 4 ways, for example, as 52568590176400 + 52651741847104 = 7250420^2 + 7256152^2 .

It is a super-2 number, since 2×105220332023504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105220332023501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3697517 + ... + 14970380.

Almost surely, 2^{105220332023504} is an apocalyptic number.

It is an amenable number.

105220332023504 is a deficient number, since it is larger than the sum of its proper divisors (104175911739064).

105220332023504 is a wasteful number, since it uses less digits than its factorization.

105220332023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18677463 (or 18677457 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 105220332023504 in words is "one hundred five trillion, two hundred twenty billion, three hundred thirty-two million, twenty-three thousand, five hundred four".