105708400 has 120 divisors (see below), whose sum is σ = 305674880. Its totient is φ = 34318080.

The previous prime is 105708367. The next prime is 105708409. The reversal of 105708400 is 4807501.

It is a super-2 number, since 2×105708400² = 22348531661120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105708409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52207 + ... + 54193.

Almost surely, 2^105708400 is an apocalyptic number.

105708400 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 105708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152837440).

105708400 is an abundant number, since it is smaller than the sum of its proper divisors (199966480).

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

105708400 is a wasteful number, since it uses less digits than its factorization.

105708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 105708400 is about 10281.4590404281. The cubic root of 105708400 is about 472.8279779177.

The spelling of 105708400 in words is "one hundred five million, seven hundred eight thousand, four hundred".