105855396 has 48 divisors (see below), whose sum is σ = 262652544. Its totient is φ = 33066496.

The previous prime is 105855371. The next prime is 105855401. The reversal of 105855396 is 693558501.

105855396 = T₂₅₅ + T₂₅₆ + ... + T₈₆₆.

It is a super-2 number, since 2×105855396² = 22410729724633632, 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, 52666 + ... + 54638.

It is an arithmetic number, because the mean of its divisors is an integer number (5471928).

Almost surely, 2^105855396 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 105855396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131326272).

105855396 is an abundant number, since it is smaller than the sum of its proper divisors (156797148).

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

105855396 is a wasteful number, since it uses less digits than its factorization.

105855396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 105855396 is about 10288.6051532752. The cubic root of 105855396 is about 473.0470448017.

The spelling of 105855396 in words is "one hundred five million, eight hundred fifty-five thousand, three hundred ninety-six".