105257727060 has 48 divisors (see below), whose sum is σ = 295250852736. Its totient is φ = 28018325632.

The previous prime is 105257727037. The next prime is 105257727061. The reversal of 105257727060 is 60727752501.

It is a super-2 number, since 2×105257727060² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105257727061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541352 + ... + 1608191.

It is an arithmetic number, because the mean of its divisors is an integer number (6151059432).

Almost surely, 2^105257727060 is an apocalyptic number.

105257727060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105257727060 is an abundant number, since it is smaller than the sum of its proper divisors (189993125676).

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

105257727060 is a wasteful number, since it uses less digits than its factorization.

105257727060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150112 (or 3150110 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 105257727060 in words is "one hundred five billion, two hundred fifty-seven million, seven hundred twenty-seven thousand, sixty".