105136841430 has 64 divisors (see below), whose sum is σ = 295120972800. Its totient is φ = 26560884960.

The previous prime is 105136841429. The next prime is 105136841441. The reversal of 105136841430 is 34148631501.

105136841430 is a `hidden beast` number, since 1 + 0 + 513 + 68 + 41 + 43 + 0 = 666.

It is a super-2 number, since 2×105136841430² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10242126 + ... + 10252385.

It is an arithmetic number, because the mean of its divisors is an integer number (4611265200).

Almost surely, 2^105136841430 is an apocalyptic number.

105136841430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105136841430 is an abundant number, since it is smaller than the sum of its proper divisors (189984131370).

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

105136841430 is a wasteful number, since it uses less digits than its factorization.

105136841430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20494546 (or 20494540 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105136841430 in words is "one hundred five billion, one hundred thirty-six million, eight hundred forty-one thousand, four hundred thirty".