105467758564 has 27 divisors (see below), whose sum is σ = 214711478793. Its totient is φ = 45198519408.

The previous prime is 105467758547. The next prime is 105467758607. The reversal of 105467758564 is 465857764501.

The square root of 105467758564 is 324758.

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., 1531156900 + 103936601664 = 39130^2 + 322392^2 .

It is a super-2 number, since 2×105467758564² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105467758499 and 105467758508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4535014 + ... + 4558210.

Almost surely, 2^105467758564 is an apocalyptic number.

105467758564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105467758564 is the 324758-th square number.

It is an amenable number.

105467758564 is an abundant number, since it is smaller than the sum of its proper divisors (109243720229).

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

105467758564 is an frugal number, since it uses more digits than its factorization.

105467758564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46412 (or 23206 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 58.

The spelling of 105467758564 in words is "one hundred five billion, four hundred sixty-seven million, seven hundred fifty-eight thousand, five hundred sixty-four".