105535144 has 32 divisors (see below), whose sum is σ = 232475040. Its totient is φ = 44280000.

The previous prime is 105535123. The next prime is 105535153. The reversal of 105535144 is 441535501.

It is a super-2 number, since 2×105535144² = 22275333238201472, which contains 22 as substring.

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, 44982 + ... + 47269.

It is an arithmetic number, because the mean of its divisors is an integer number (7264845).

Almost surely, 2^105535144 is an apocalyptic number.

It is an amenable number.

105535144 is an abundant number, since it is smaller than the sum of its proper divisors (126939896).

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

105535144 is a wasteful number, since it uses less digits than its factorization.

105535144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92281 (or 92277 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 105535144 is about 10273.0299327900. The cubic root of 105535144 is about 472.5695150749.

The spelling of 105535144 in words is "one hundred five million, five hundred thirty-five thousand, one hundred forty-four".