10105354604124 has 72 divisors (see below), whose sum is σ = 29127198587760. Its totient is φ = 2926437530112.

The previous prime is 10105354604099. The next prime is 10105354604207. The reversal of 10105354604124 is 42140645350101.

10105354604124 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 35 + 4 + 604 + 12 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 635069634 + ... + 635085545.

It is an arithmetic number, because the mean of its divisors is an integer number (404544424830).

Almost surely, 2^{10105354604124} is an apocalyptic number.

It is an amenable number.

10105354604124 is an abundant number, since it is smaller than the sum of its proper divisors (19021843983636).

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

10105354604124 is a wasteful number, since it uses less digits than its factorization.

10105354604124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270155219 (or 1270155214 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10105354604124 its reverse (42140645350101), we get a palindrome (52245999954225).

The spelling of 10105354604124 in words is "ten trillion, one hundred five billion, three hundred fifty-four million, six hundred four thousand, one hundred twenty-four".