105357232 has 40 divisors (see below), whose sum is σ = 214383600. Its totient is φ = 50088192.

The previous prime is 105357199. The next prime is 105357253. The reversal of 105357232 is 232753501.

It is a super-2 number, since 2×105357232² = 22200292669403648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105357232.

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, 29394 + ... + 32782.

It is an arithmetic number, because the mean of its divisors is an integer number (5359590).

Almost surely, 2^105357232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105357232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107191800).

105357232 is an abundant number, since it is smaller than the sum of its proper divisors (109026368).

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

105357232 is a wasteful number, since it uses less digits than its factorization.

105357232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105357232 is about 10264.3671017750. The cubic root of 105357232 is about 472.3038118728.

It can be divided in two parts, 1053 and 57232, that added together give a palindrome (58285).

The spelling of 105357232 in words is "one hundred five million, three hundred fifty-seven thousand, two hundred thirty-two".