105987618 has 48 divisors (see below), whose sum is σ = 252997056. Its totient is φ = 31799520.

The previous prime is 105987601. The next prime is 105987649. The reversal of 105987618 is 816789501.

It is a super-2 number, since 2×105987618² = 22466750338627848, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17796 + ... + 22992.

It is an arithmetic number, because the mean of its divisors is an integer number (5270772).

Almost surely, 2^105987618 is an apocalyptic number.

105987618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105987618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126498528).

105987618 is an abundant number, since it is smaller than the sum of its proper divisors (147009438).

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

105987618 is a wasteful number, since it uses less digits than its factorization.

105987618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5316 counting only the distinct ones).

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

The square root of 105987618 is about 10295.0288003483. The cubic root of 105987618 is about 473.2439209321.

The spelling of 105987618 in words is "one hundred five million, nine hundred eighty-seven thousand, six hundred eighteen".