105624105125046 has 16 divisors (see below), whose sum is σ = 222366537105600. Its totient is φ = 33354980565768.

The previous prime is 105624105125039. The next prime is 105624105125047. The reversal of 105624105125046 is 640521501426501.

It is a happy number.

It is a super-2 number, since 2×105624105125046² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105624105124989 and 105624105125007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105624105125047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463263618856 + ... + 463263619083.

It is an arithmetic number, because the mean of its divisors is an integer number (13897908569100).

Almost surely, 2^{105624105125046} is an apocalyptic number.

105624105125046 is an abundant number, since it is smaller than the sum of its proper divisors (116742431980554).

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

105624105125046 is a wasteful number, since it uses less digits than its factorization.

105624105125046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926527237963.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 105624105125046 in words is "one hundred five trillion, six hundred twenty-four billion, one hundred five million, one hundred twenty-five thousand, forty-six".