105624434122040 has 32 divisors (see below), whose sum is σ = 237670740881280. Its totient is φ = 42246971140992.

The previous prime is 105624434121989. The next prime is 105624434122079. The reversal of 105624434122040 is 40221434426501.

It is a super-2 number, since 2×105624434122040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105624434121985 and 105624434122003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86967752 + ... + 88173911.

It is an arithmetic number, because the mean of its divisors is an integer number (7427210652540).

Almost surely, 2^{105624434122040} is an apocalyptic number.

105624434122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105624434122040 is an abundant number, since it is smaller than the sum of its proper divisors (132046306759240).

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

105624434122040 is a wasteful number, since it uses less digits than its factorization.

105624434122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175156751 (or 175156747 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 105624434122040 its reverse (40221434426501), we get a palindrome (145845868548541).

The spelling of 105624434122040 in words is "one hundred five trillion, six hundred twenty-four billion, four hundred thirty-four million, one hundred twenty-two thousand, forty".