105262154080 has 24 divisors (see below), whose sum is σ = 248681839392. Its totient is φ = 42104861568.

The previous prime is 105262154059. The next prime is 105262154111. The reversal of 105262154080 is 80451262501.

It is a happy number.

It is a super-2 number, since 2×105262154080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 328944072 + ... + 328944391.

It is an arithmetic number, because the mean of its divisors is an integer number (10361743308).

Almost surely, 2^105262154080 is an apocalyptic number.

105262154080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105262154080 is an abundant number, since it is smaller than the sum of its proper divisors (143419685312).

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

105262154080 is an equidigital number, since it uses as much as digits as its factorization.

105262154080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657888478 (or 657888470 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 105262154080 in words is "one hundred five billion, two hundred sixty-two million, one hundred fifty-four thousand, eighty".