105187896 has 96 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 31868640.

The previous prime is 105187889. The next prime is 105187897. The reversal of 105187896 is 698781501.

It is a super-2 number, since 2×105187896² = 22128986929813632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105187897) 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, 18925 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (3357900).

Almost surely, 2^105187896 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 105187896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

105187896 is an abundant number, since it is smaller than the sum of its proper divisors (217170504).

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

105187896 is a wasteful number, since it uses less digits than its factorization.

105187896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 105187896 is about 10256.1150539568. The cubic root of 105187896 is about 472.0506385391.

The spelling of 105187896 in words is "one hundred five million, one hundred eighty-seven thousand, eight hundred ninety-six".