105117432 has 32 divisors (see below), whose sum is σ = 300336000. Its totient is φ = 30033504.

The previous prime is 105117421. The next prime is 105117449. The reversal of 105117432 is 234711501.

It is a super-2 number, since 2×105117432² = 22099349020549248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312682 + ... + 313017.

It is an arithmetic number, because the mean of its divisors is an integer number (9385500).

Almost surely, 2^105117432 is an apocalyptic number.

105117432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105117432 is an abundant number, since it is smaller than the sum of its proper divisors (195218568).

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

105117432 is a wasteful number, since it uses less digits than its factorization.

105117432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625715 (or 625711 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105117432 is about 10252.6792595887. The cubic root of 105117432 is about 471.9452081375.

Adding to 105117432 its reverse (234711501), we get a palindrome (339828933).

The spelling of 105117432 in words is "one hundred five million, one hundred seventeen thousand, four hundred thirty-two".