105000400 has 30 divisors (see below), whose sum is σ = 252264422. Its totient is φ = 42000000.

The previous prime is 105000361. The next prime is 105000407. The reversal of 105000400 is 4000501.

It can be written as a sum of positive squares in 3 ways, for example, as 28472896 + 76527504 = 5336^2 + 8748^2 .

It is a super-2 number, since 2×105000400² = 22050168000320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000407) by changing a digit.

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, 130851 + ... + 131650.

Almost surely, 2^105000400 is an apocalyptic number.

105000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000400 is an abundant number, since it is smaller than the sum of its proper divisors (147264022).

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

105000400 is a wasteful number, since it uses less digits than its factorization.

105000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262519 (or 262508 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 105000400 is about 10246.9702839425. The cubic root of 105000400 is about 471.7699971031.

Adding to 105000400 its reverse (4000501), we get a palindrome (109000901).

The spelling of 105000400 in words is "one hundred five million, four hundred", and thus it is an aban number.