105742392 has 48 divisors (see below), whose sum is σ = 307519560. Its totient is φ = 30211776.

The previous prime is 105742379. The next prime is 105742409. The reversal of 105742392 is 293247501.

It is a super-2 number, since 2×105742392² = 22362906931763328, 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 11 ways as a sum of consecutive naturals, for example, 43783 + ... + 46134.

Almost surely, 2^105742392 is an apocalyptic number.

105742392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105742392 is an abundant number, since it is smaller than the sum of its proper divisors (201777168).

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

105742392 is a wasteful number, since it uses less digits than its factorization.

105742392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89940 (or 89929 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105742392 is about 10283.1119803297. Note that the first 3 decimals coincide. The cubic root of 105742392 is about 472.8786539477.

Adding to 105742392 its reverse (293247501), we get a palindrome (398989893).

The spelling of 105742392 in words is "one hundred five million, seven hundred forty-two thousand, three hundred ninety-two".