105513716 has 48 divisors (see below), whose sum is σ = 238170240. Its totient is φ = 39688320.

The previous prime is 105513703. The next prime is 105513757. The reversal of 105513716 is 617315501.

It is a super-2 number, since 2×105513716² = 22266288528257312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 3026 + ... + 14838.

It is an arithmetic number, because the mean of its divisors is an integer number (4961880).

Almost surely, 2^105513716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105513716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119085120).

105513716 is an abundant number, since it is smaller than the sum of its proper divisors (132656524).

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

105513716 is a wasteful number, since it uses less digits than its factorization.

105513716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 105513716 is about 10271.9869548204. The cubic root of 105513716 is about 472.5375291897.

The spelling of 105513716 in words is "one hundred five million, five hundred thirteen thousand, seven hundred sixteen".