105627254720 has 56 divisors (see below), whose sum is σ = 270872980224. Its totient is φ = 39000830976.

The previous prime is 105627254717. The next prime is 105627254729. The reversal of 105627254720 is 27452726501.

It is a super-4 number, since 4×105627254720⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105627254729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12691424 + ... + 12699743.

It is an arithmetic number, because the mean of its divisors is an integer number (4837017504).

Almost surely, 2^105627254720 is an apocalyptic number.

105627254720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105627254720 is an abundant number, since it is smaller than the sum of its proper divisors (165245725504).

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

105627254720 is a wasteful number, since it uses less digits than its factorization.

105627254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391197 (or 25391187 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 105627254720 in words is "one hundred five billion, six hundred twenty-seven million, two hundred fifty-four thousand, seven hundred twenty".