105915936 has 96 divisors (see below), whose sum is σ = 319455360. Its totient is φ = 30099456.

The previous prime is 105915913. The next prime is 105915977. The reversal of 105915936 is 639519501.

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

It is a super-2 number, since 2×105915936² = 22436370997512192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105915894 and 105915903.

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, 185860 + ... + 186428.

It is an arithmetic number, because the mean of its divisors is an integer number (3327660).

Almost surely, 2^105915936 is an apocalyptic number.

105915936 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 105915936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159727680).

105915936 is an abundant number, since it is smaller than the sum of its proper divisors (213539424).

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

105915936 is a wasteful number, since it uses less digits than its factorization.

105915936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 39.

The square root of 105915936 is about 10291.5468225141. The cubic root of 105915936 is about 473.1372080854.

The spelling of 105915936 in words is "one hundred five million, nine hundred fifteen thousand, nine hundred thirty-six".