105386345882730 has 48 divisors (see below), whose sum is σ = 298913999233824. Its totient is φ = 25548205062240.

The previous prime is 105386345882729. The next prime is 105386345882813. The reversal of 105386345882730 is 37288543683501.

105386345882730 is a `hidden beast` number, since 1 + 0 + 5 + 38 + 6 + 3 + 458 + 82 + 73 + 0 = 666.

It is a super-2 number, since 2×105386345882730² (a number of 29 digits) contains 22 as substring.

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, 53225426224 + ... + 53225428203.

It is an arithmetic number, because the mean of its divisors is an integer number (6227374984038).

Almost surely, 2^{105386345882730} is an apocalyptic number.

105386345882730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105386345882730 is an abundant number, since it is smaller than the sum of its proper divisors (193527653351094).

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

105386345882730 is a wasteful number, since it uses less digits than its factorization.

105386345882730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106450854451 (or 106450854448 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 105386345882730 in words is "one hundred five trillion, three hundred eighty-six billion, three hundred forty-five million, eight hundred eighty-two thousand, seven hundred thirty".