105189152 has 24 divisors (see below), whose sum is σ = 207737712. Its totient is φ = 52430400.

The previous prime is 105189109. The next prime is 105189163. The reversal of 105189152 is 251981501.

It is a super-2 number, since 2×105189152² = 22129515396958208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5627 + ... + 15557.

It is an arithmetic number, because the mean of its divisors is an integer number (8655738).

Almost surely, 2^105189152 is an apocalyptic number.

It is an amenable number.

105189152 is a deficient number, since it is larger than the sum of its proper divisors (102548560).

105189152 is an equidigital number, since it uses as much as digits as its factorization.

105189152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10272 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 32.

The square root of 105189152 is about 10256.1762855364. The cubic root of 105189152 is about 472.0525173777.

The spelling of 105189152 in words is "one hundred five million, one hundred eighty-nine thousand, one hundred fifty-two".