105374800 has 30 divisors (see below), whose sum is σ = 253163918. Its totient is φ = 42149760.

The previous prime is 105374791. The next prime is 105374803. The reversal of 105374800 is 8473501.

It can be written as a sum of positive squares in 3 ways, for example, as 25522704 + 79852096 = 5052^2 + 8936^2 .

It is a super-2 number, since 2×105374800² = 22207696950080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105374803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131319 + ... + 132118.

Almost surely, 2^105374800 is an apocalyptic number.

105374800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105374800 is an abundant number, since it is smaller than the sum of its proper divisors (147789118).

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

105374800 is a wasteful number, since it uses less digits than its factorization.

105374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263455 (or 263444 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105374800 is about 10265.2228421988. Note that the first 3 decimals coincide. The cubic root of 105374800 is about 472.3300621582.

The spelling of 105374800 in words is "one hundred five million, three hundred seventy-four thousand, eight hundred".