105936400 has 120 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 39237120.

The previous prime is 105936361. The next prime is 105936403. The reversal of 105936400 is 4639501.

It is a super-2 number, since 2×105936400² = 22445041689920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105936403) 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, 402669 + ... + 402931.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^105936400 is an apocalyptic number.

105936400 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 105936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

105936400 is an abundant number, since it is smaller than the sum of its proper divisors (168063920).

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

105936400 is a wasteful number, since it uses less digits than its factorization.

105936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 105936400 is about 10292.5409885023. The cubic root of 105936400 is about 473.1676777097.

The spelling of 105936400 in words is "one hundred five million, nine hundred thirty-six thousand, four hundred".