105138555470410 has 64 divisors (see below), whose sum is σ = 238238054406144. Its totient is φ = 32452299028800.

The previous prime is 105138555470383. The next prime is 105138555470449. The reversal of 105138555470410 is 14074555831501.

It is a super-2 number, since 2×105138555470410² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662753596 + ... + 662912215.

It is an arithmetic number, because the mean of its divisors is an integer number (3722469600096).

Almost surely, 2^{105138555470410} is an apocalyptic number.

105138555470410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105138555470410 is an abundant number, since it is smaller than the sum of its proper divisors (133099498935734).

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

105138555470410 is a wasteful number, since it uses less digits than its factorization.

105138555470410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325665939.

The product of its (nonzero) digits is 1680000, while the sum is 49.

The spelling of 105138555470410 in words is "one hundred five trillion, one hundred thirty-eight billion, five hundred fifty-five million, four hundred seventy thousand, four hundred ten".