105275400 has 96 divisors (see below), whose sum is σ = 330633600. Its totient is φ = 27705600.

The previous prime is 105275377. The next prime is 105275419. The reversal of 105275400 is 4572501.

It is a super-2 number, since 2×105275400² = 22165819690320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46290 + ... + 48510.

It is an arithmetic number, because the mean of its divisors is an integer number (3444100).

Almost surely, 2^105275400 is an apocalyptic number.

105275400 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 105275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165316800).

105275400 is an abundant number, since it is smaller than the sum of its proper divisors (225358200).

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

105275400 is a wasteful number, since it uses less digits than its factorization.

105275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105275400 is about 10260.3801099180. The cubic root of 105275400 is about 472.1814991924.

The spelling of 105275400 in words is "one hundred five million, two hundred seventy-five thousand, four hundred".