105276331755 has 48 divisors (see below), whose sum is σ = 213397367040. Its totient is φ = 47007100224.

The previous prime is 105276331673. The next prime is 105276331847. The reversal of 105276331755 is 557133672501.

105276331755 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 7 + 633 + 1 + 7 + 5 + 5 = 666.

It is not a de Polignac number, because 105276331755 - 2⁸ = 105276331499 is a prime.

It is a super-2 number, since 2×105276331755² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105276331755.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3872625 + ... + 3899714.

It is an arithmetic number, because the mean of its divisors is an integer number (4445778480).

Almost surely, 2^105276331755 is an apocalyptic number.

105276331755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105276331755 is an abundant number, since it is smaller than the sum of its proper divisors (108121035285).

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

105276331755 is a wasteful number, since it uses less digits than its factorization.

105276331755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772400 (or 7772397 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 105276331755 in words is "one hundred five billion, two hundred seventy-six million, three hundred thirty-one thousand, seven hundred fifty-five".