105276758940 has 48 divisors (see below), whose sum is σ = 327527696160. Its totient is φ = 28073802240.

The previous prime is 105276758897. The next prime is 105276758999. The reversal of 105276758940 is 49857672501.

105276758940 is a `hidden beast` number, since 1 + 0 + 52 + 7 + 6 + 7 + 589 + 4 + 0 = 666.

It is a super-2 number, since 2×105276758940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97477941 + ... + 97479020.

It is an arithmetic number, because the mean of its divisors is an integer number (6823493670).

Almost surely, 2^105276758940 is an apocalyptic number.

105276758940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105276758940 is an abundant number, since it is smaller than the sum of its proper divisors (222250937220).

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

105276758940 is a wasteful number, since it uses less digits than its factorization.

105276758940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194956979 (or 194956971 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 105276758940 in words is "one hundred five billion, two hundred seventy-six million, seven hundred fifty-eight thousand, nine hundred forty".