105317916 has 36 divisors (see below), whose sum is σ = 270116616. Its totient is φ = 31914080.

The previous prime is 105317899. The next prime is 105317923. The reversal of 105317916 is 619713501.

It is a happy number.

It is a super-2 number, since 2×105317916² = 22183726861166112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 34815 + ... + 37718.

Almost surely, 2^105317916 is an apocalyptic number.

It is an amenable number.

105317916 is an abundant number, since it is smaller than the sum of its proper divisors (164798700).

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

105317916 is a wasteful number, since it uses less digits than its factorization.

105317916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72562 (or 72549 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 105317916 is about 10262.4517538452. The cubic root of 105317916 is about 472.2450549288.

The spelling of 105317916 in words is "one hundred five million, three hundred seventeen thousand, nine hundred sixteen".