105414051530430 has 48 divisors (see below), whose sum is σ = 274140706492224. Its totient is φ = 28103831945280.

The previous prime is 105414051530423. The next prime is 105414051530477. The reversal of 105414051530430 is 34035150414501.

105414051530430 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 40 + 51 + 530 + 4 + 30 = 666.

It is a super-2 number, since 2×105414051530430² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136734229 + ... + 137503008.

It is an arithmetic number, because the mean of its divisors is an integer number (5711264718588).

Almost surely, 2^{105414051530430} is an apocalyptic number.

105414051530430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105414051530430 is an abundant number, since it is smaller than the sum of its proper divisors (168726654961794).

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

105414051530430 is a wasteful number, since it uses less digits than its factorization.

105414051530430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274241521 (or 274241518 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 105414051530430 in words is "one hundred five trillion, four hundred fourteen billion, fifty-one million, five hundred thirty thousand, four hundred thirty".