105869400 has 288 divisors, whose sum is σ = 412629840. Its totient is φ = 22256640.

The previous prime is 105869383. The next prime is 105869419. The reversal of 105869400 is 4968501.

It is a super-2 number, since 2×105869400² = 22416659712720000, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 382062 + ... + 382338.

Almost surely, 2^105869400 is an apocalyptic number.

105869400 is a gapful number since it is divisible by the number (10) 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 105869400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206314920).

105869400 is an abundant number, since it is smaller than the sum of its proper divisors (306760440).

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

105869400 is a wasteful number, since it uses less digits than its factorization.

105869400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105869400 is about 10289.2856894927. The cubic root of 105869400 is about 473.0679042602.

The spelling of 105869400 in words is "one hundred five million, eight hundred sixty-nine thousand, four hundred".