105193332 has 36 divisors (see below), whose sum is σ = 271567296. Its totient is φ = 34317840.

The previous prime is 105193307. The next prime is 105193339. The reversal of 105193332 is 233391501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105193332² = 22131274194524448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105193296 and 105193305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105193339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29394 + ... + 32777.

It is an arithmetic number, because the mean of its divisors is an integer number (7543536).

Almost surely, 2^105193332 is an apocalyptic number.

105193332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105193332 is an abundant number, since it is smaller than the sum of its proper divisors (166373964).

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

105193332 is a wasteful number, since it uses less digits than its factorization.

105193332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62228 (or 62223 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105193332 is about 10256.3800631607. The cubic root of 105193332 is about 472.0587700928.

The spelling of 105193332 in words is "one hundred five million, one hundred ninety-three thousand, three hundred thirty-two".