105960116 has 36 divisors (see below), whose sum is σ = 199908576. Its totient is φ = 49123200.

The previous prime is 105960097. The next prime is 105960121. The reversal of 105960116 is 611069501.

It is a super-2 number, since 2×105960116² = 22455092365466912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81431 + ... + 82721.

It is an arithmetic number, because the mean of its divisors is an integer number (5553016).

Almost surely, 2^105960116 is an apocalyptic number.

It is an amenable number.

105960116 is a deficient number, since it is larger than the sum of its proper divisors (93948460).

105960116 is a wasteful number, since it uses less digits than its factorization.

105960116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 105960116 is about 10293.6930204859. The cubic root of 105960116 is about 473.2029844515.

The spelling of 105960116 in words is "one hundred five million, nine hundred sixty thousand, one hundred sixteen".