105642192 has 40 divisors (see below), whose sum is σ = 274759200. Its totient is φ = 34975360.

The previous prime is 105642161. The next prime is 105642209. The reversal of 105642192 is 291246501.

It is a super-2 number, since 2×105642192² = 22320545461129728, which 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 7 ways as a sum of consecutive naturals, for example, 234 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (6868980).

Almost surely, 2^105642192 is an apocalyptic number.

105642192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105642192 is an abundant number, since it is smaller than the sum of its proper divisors (169117008).

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

105642192 is a wasteful number, since it uses less digits than its factorization.

105642192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14931 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105642192 is about 10278.2387596319. The cubic root of 105642192 is about 472.7292423622.

Adding to 105642192 its reverse (291246501), we get a palindrome (396888693).

The spelling of 105642192 in words is "one hundred five million, six hundred forty-two thousand, one hundred ninety-two".