105468750 has 80 divisors (see below), whose sum is σ = 292968720. Its totient is φ = 28125000.

The previous prime is 105468749. The next prime is 105468751. The reversal of 105468750 is 57864501.

It is an interprime number because it is at equal distance from previous prime (105468749) and next prime (105468751).

It is a super-2 number, since 2×105468750² = 22247314453125000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105468751) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 21093748 + ... + 21093752.

It is an arithmetic number, because the mean of its divisors is an integer number (3662109).

Almost surely, 2^105468750 is an apocalyptic number.

105468750 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 105468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146484360).

105468750 is an abundant number, since it is smaller than the sum of its proper divisors (187499970).

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

105468750 is an frugal number, since it uses more digits than its factorization.

105468750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105468750 is about 10269.7979532219. The cubic root of 105468750 is about 472.4703937106.

The spelling of 105468750 in words is "one hundred five million, four hundred sixty-eight thousand, seven hundred fifty".