105214222354024 has 128 divisors (see below), whose sum is σ = 232381373552640. Its totient is φ = 43733255968512.

The previous prime is 105214222353953. The next prime is 105214222354039. The reversal of 105214222354024 is 420453222412501.

It is a happy number.

It is a super-2 number, since 2×105214222354024² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66070027 + ... + 67643749.

It is an arithmetic number, because the mean of its divisors is an integer number (1815479480880).

Almost surely, 2^{105214222354024} is an apocalyptic number.

105214222354024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105214222354024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116190686776320).

105214222354024 is an abundant number, since it is smaller than the sum of its proper divisors (127167151198616).

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

105214222354024 is a wasteful number, since it uses less digits than its factorization.

105214222354024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574079 (or 1574075 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 105214222354024 its reverse (420453222412501), we get a palindrome (525667444766525).

The spelling of 105214222354024 in words is "one hundred five trillion, two hundred fourteen billion, two hundred twenty-two million, three hundred fifty-four thousand, twenty-four".