105940352 has 128 divisors (see below), whose sum is σ = 261120000. Its totient is φ = 42674688.

The previous prime is 105940297. The next prime is 105940363. The reversal of 105940352 is 253049501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105940352² = 22446716363767808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834113 + ... + 834239.

It is an arithmetic number, because the mean of its divisors is an integer number (2040000).

Almost surely, 2^105940352 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 105940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560000).

105940352 is an abundant number, since it is smaller than the sum of its proper divisors (155179648).

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

105940352 is an equidigital number, since it uses as much as digits as its factorization.

105940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105940352 is about 10292.7329704020. The cubic root of 105940352 is about 473.1735615400.

Adding to 105940352 its reverse (253049501), we get a palindrome (358989853).

The spelling of 105940352 in words is "one hundred five million, nine hundred forty thousand, three hundred fifty-two".