105352752 has 40 divisors (see below), whose sum is σ = 278496064. Its totient is φ = 34300224.

The previous prime is 105352721. The next prime is 105352759. The reversal of 105352752 is 257253501.

It is a super-2 number, since 2×105352752² = 22198404707947008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105352759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23458 + ... + 27585.

Almost surely, 2^105352752 is an apocalyptic number.

105352752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105352752 is an abundant number, since it is smaller than the sum of its proper divisors (173143312).

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

105352752 is a wasteful number, since it uses less digits than its factorization.

105352752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51097 (or 51091 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 105352752 is about 10264.1488687567. The cubic root of 105352752 is about 472.2971173440.

The spelling of 105352752 in words is "one hundred five million, three hundred fifty-two thousand, seven hundred fifty-two".