105897984 has 112 divisors (see below), whose sum is σ = 293583360. Its totient is φ = 33914880.

The previous prime is 105897977. The next prime is 105898021. The reversal of 105897984 is 489798501.

It is a super-2 number, since 2×105897984² = 22428766030528512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761787 + ... + 761925.

It is an arithmetic number, because the mean of its divisors is an integer number (2621280).

Almost surely, 2^105897984 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 105897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146791680).

105897984 is an abundant number, since it is smaller than the sum of its proper divisors (187685376).

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

105897984 is an equidigital number, since it uses as much as digits as its factorization.

105897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 105897984 is about 10290.6746134546. The cubic root of 105897984 is about 473.1104754413.

The spelling of 105897984 in words is "one hundred five million, eight hundred ninety-seven thousand, nine hundred eighty-four".