105914424 has 128 divisors (see below), whose sum is σ = 339264000. Its totient is φ = 26749440.

The previous prime is 105914423. The next prime is 105914441. The reversal of 105914424 is 424419501.

It is a super-2 number, since 2×105914424² = 22435730422503552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105914391 and 105914400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105914423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67602 + ... + 69150.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2^105914424 is an apocalyptic number.

105914424 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 105914424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632000).

105914424 is an abundant number, since it is smaller than the sum of its proper divisors (233349576).

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

105914424 is a wasteful number, since it uses less digits than its factorization.

105914424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105914424 is about 10291.4733639066. The cubic root of 105914424 is about 473.1349566557.

The spelling of 105914424 in words is "one hundred five million, nine hundred fourteen thousand, four hundred twenty-four".