105896960 has 176 divisors, whose sum is σ = 287497056. Its totient is φ = 37158912.

The previous prime is 105896911. The next prime is 105896981. The reversal of 105896960 is 69698501.

It is a super-2 number, since 2×105896960² = 22428332274483200, 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 15 ways as a sum of consecutive naturals, for example, 2462699 + ... + 2462741.

It is an arithmetic number, because the mean of its divisors is an integer number (1633506).

Almost surely, 2^105896960 is an apocalyptic number.

105896960 is a gapful number since it is divisible by the number (10) 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 105896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143748528).

105896960 is an abundant number, since it is smaller than the sum of its proper divisors (181600096).

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

105896960 is a wasteful number, since it uses less digits than its factorization.

105896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 105896960 is about 10290.6248595506. The cubic root of 105896960 is about 473.1089504935.

The spelling of 105896960 in words is "one hundred five million, eight hundred ninety-six thousand, nine hundred sixty".