105950916 has 72 divisors (see below), whose sum is σ = 292408480. Its totient is φ = 33452352.

The previous prime is 105950899. The next prime is 105950917. The reversal of 105950916 is 619059501.

It is a super-2 number, since 2×105950916² = 22451193202478112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105950917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15600 + ... + 21336.

Almost surely, 2^105950916 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 105950916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146204240).

105950916 is an abundant number, since it is smaller than the sum of its proper divisors (186457564).

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

105950916 is a wasteful number, since it uses less digits than its factorization.

105950916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 105950916 is about 10293.2461352092. The cubic root of 105950916 is about 473.1892887528.

The spelling of 105950916 in words is "one hundred five million, nine hundred fifty thousand, nine hundred sixteen".