105968850 has 96 divisors (see below), whose sum is σ = 292314624. Its totient is φ = 25228800.

The previous prime is 105968831. The next prime is 105968903. The reversal of 105968850 is 58869501.

It is a super-2 number, since 2×105968850² = 22458794340645000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59574 + ... + 61326.

It is an arithmetic number, because the mean of its divisors is an integer number (3044944).

Almost surely, 2^105968850 is an apocalyptic number.

105968850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105968850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146157312).

105968850 is an abundant number, since it is smaller than the sum of its proper divisors (186345774).

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

105968850 is a wasteful number, since it uses less digits than its factorization.

105968850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 105968850 is about 10294.1172521008. The cubic root of 105968850 is about 473.2159856997.

The spelling of 105968850 in words is "one hundred five million, nine hundred sixty-eight thousand, eight hundred fifty".