105224040504 has 192 divisors, whose sum is σ = 315200471040. Its totient is φ = 31446938880.

The previous prime is 105224040473. The next prime is 105224040511. The reversal of 105224040504 is 405040422501.

105224040504 is a `hidden beast` number, since 10 + 5 + 2 + 240 + 405 + 0 + 4 = 666.

It is a super-2 number, since 2×105224040504² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17398009 + ... + 17404055.

It is an arithmetic number, because the mean of its divisors is an integer number (1641669120).

Almost surely, 2^105224040504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105224040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157600235520).

105224040504 is an abundant number, since it is smaller than the sum of its proper divisors (209976430536).

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

105224040504 is a wasteful number, since it uses less digits than its factorization.

105224040504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 105224040504 in words is "one hundred five billion, two hundred twenty-four million, forty thousand, five hundred four".