105051754274130 has 96 divisors (see below), whose sum is σ = 278308954398384. Its totient is φ = 27483173572608.

The previous prime is 105051754274099. The next prime is 105051754274161. The reversal of 105051754274130 is 31472457150501.

105051754274130 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 1 + 7 + 542 + 74 + 1 + 30 = 666.

105051754274130 is digitally balanced in base 3, 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 (105051754274099) and next prime (105051754274161).

It can be written as a sum of positive squares in 8 ways, for example, as 56264895986049 + 48786858288081 = 7500993^2 + 6984759^2 .

It is a super-2 number, since 2×105051754274130² (a number of 29 digits) contains 22 as substring.

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

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, 63178362 + ... + 64819818.

Almost surely, 2^{105051754274130} is an apocalyptic number.

105051754274130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105051754274130 is an abundant number, since it is smaller than the sum of its proper divisors (173257200124254).

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

105051754274130 is a wasteful number, since it uses less digits than its factorization.

105051754274130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654940 (or 1654937 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 105051754274130 in words is "one hundred five trillion, fifty-one billion, seven hundred fifty-four million, two hundred seventy-four thousand, one hundred thirty".