105401200 has 30 divisors (see below), whose sum is σ = 253227344. Its totient is φ = 42160320.

The previous prime is 105401137. The next prime is 105401281. The reversal of 105401200 is 2104501.

It is a super-2 number, since 2×105401200² = 22218825922880000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 131352 + ... + 132151.

Almost surely, 2^105401200 is an apocalyptic number.

105401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105401200 is an abundant number, since it is smaller than the sum of its proper divisors (147826144).

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

105401200 is a wasteful number, since it uses less digits than its factorization.

105401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263521 (or 263510 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105401200 is about 10266.5086567927. The cubic root of 105401200 is about 472.3695038224.

Adding to 105401200 its reverse (2104501), we get a palindrome (107505701).

The spelling of 105401200 in words is "one hundred five million, four hundred one thousand, two hundred".