105028896 has 96 divisors (see below), whose sum is σ = 319552128. Its totient is φ = 29583360.

The previous prime is 105028883. The next prime is 105028901. The reversal of 105028896 is 698820501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105028896² = 22062137989957632, which contains 22 as substring.

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, 47986 + ... + 50126.

It is an arithmetic number, because the mean of its divisors is an integer number (3328668).

Almost surely, 2^105028896 is an apocalyptic number.

105028896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159776064).

105028896 is an abundant number, since it is smaller than the sum of its proper divisors (214523232).

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

105028896 is a wasteful number, since it uses less digits than its factorization.

105028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 105028896 is about 10248.3606493917. The cubic root of 105028896 is about 471.8126710418.

The spelling of 105028896 in words is "one hundred five million, twenty-eight thousand, eight hundred ninety-six".