105100352 has 28 divisors (see below), whose sum is σ = 238353600. Its totient is φ = 45042816.

The previous prime is 105100351. The next prime is 105100361. The reversal of 105100352 is 253001501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×105100352² = 22092167981047808, 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 105100352.

It is not an unprimeable number, because it can be changed into a prime (105100351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116852 + ... + 117747.

Almost surely, 2^105100352 is an apocalyptic number.

It is an amenable number.

105100352 is an abundant number, since it is smaller than the sum of its proper divisors (133253248).

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

105100352 is an equidigital number, since it uses as much as digits as its factorization.

105100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234618 (or 234608 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105100352 is about 10251.8462727452. The cubic root of 105100352 is about 471.9196454228.

Adding to 105100352 its reverse (253001501), we get a palindrome (358101853).

The spelling of 105100352 in words is "one hundred five million, one hundred thousand, three hundred fifty-two".