105145960 has 16 divisors (see below), whose sum is σ = 236578500. Its totient is φ = 42058368.

The previous prime is 105145951. The next prime is 105145979. The reversal of 105145960 is 69541501.

It can be written as a sum of positive squares in 2 ways, for example, as 105144516 + 1444 = 10254^2 + 38^2 .

It is a super-2 number, since 2×105145960² = 22111345808643200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314285 + ... + 1314364.

Almost surely, 2^105145960 is an apocalyptic number.

105145960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105145960 is an abundant number, since it is smaller than the sum of its proper divisors (131432540).

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

105145960 is a wasteful number, since it uses less digits than its factorization.

105145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628660 (or 2628656 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 105145960 is about 10254.0704113050. The cubic root of 105145960 is about 471.9878982821.

The spelling of 105145960 in words is "one hundred five million, one hundred forty-five thousand, nine hundred sixty".