105125377100274 has 48 divisors (see below), whose sum is σ = 229382906664600. Its totient is φ = 34794076197120.

The previous prime is 105125377100269. The next prime is 105125377100279. The reversal of 105125377100274 is 472001773521501.

105125377100274 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 5 + 377 + 1 + 0 + 0 + 274 = 666.

105125377100274 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105125377100269) and next prime (105125377100279).

It can be written as a sum of positive squares in 4 ways, for example, as 19475072085249 + 85650305015025 = 4413057^2 + 9254745^2 .

It is a super-2 number, since 2×105125377100274² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105125377100279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390544 + ... + 14505284.

Almost surely, 2^{105125377100274} is an apocalyptic number.

105125377100274 is an abundant number, since it is smaller than the sum of its proper divisors (124257529564326).

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

105125377100274 is a wasteful number, since it uses less digits than its factorization.

105125377100274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117675 (or 14117672 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 105125377100274 in words is "one hundred five trillion, one hundred twenty-five billion, three hundred seventy-seven million, one hundred thousand, two hundred seventy-four".