105028716 has 48 divisors (see below), whose sum is σ = 270371808. Its totient is φ = 31526400.

The previous prime is 105028697. The next prime is 105028723. The reversal of 105028716 is 617820501.

It is a super-2 number, since 2×105028716² = 22062062369217312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1815 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (5632746).

Almost surely, 2^105028716 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 105028716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135185904).

105028716 is an abundant number, since it is smaller than the sum of its proper divisors (165343092).

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

105028716 is a wasteful number, since it uses less digits than its factorization.

105028716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16482 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 105028716 is about 10248.3518674956. The cubic root of 105028716 is about 471.8124015085.

The spelling of 105028716 in words is "one hundred five million, twenty-eight thousand, seven hundred sixteen".