105669400 has 48 divisors (see below), whose sum is σ = 246624840. Its totient is φ = 42105600.

The previous prime is 105669379. The next prime is 105669407. The reversal of 105669400 is 4966501.

It is a super-2 number, since 2×105669400² = 22332044192720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105669407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60540 + ... + 62260.

Almost surely, 2^105669400 is an apocalyptic number.

105669400 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 105669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123312420).

105669400 is an abundant number, since it is smaller than the sum of its proper divisors (140955440).

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

105669400 is a wasteful number, since it uses less digits than its factorization.

105669400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105669400 is about 10279.5622474889. The cubic root of 105669400 is about 472.7698224655.

The spelling of 105669400 in words is "one hundred five million, six hundred sixty-nine thousand, four hundred".