105054100 has 36 divisors (see below), whose sum is σ = 234136924. Its totient is φ = 40884480.

The previous prime is 105054083. The next prime is 105054113. The reversal of 105054100 is 1450501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16016004 + 89038096 = 4002^2 + 9436^2 .

It is a super-2 number, since 2×105054100² = 22072727853620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10497 + ... + 17896.

Almost surely, 2^105054100 is an apocalyptic number.

105054100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105054100 is an abundant number, since it is smaller than the sum of its proper divisors (129082824).

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

105054100 is a wasteful number, since it uses less digits than its factorization.

105054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28444 (or 28437 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105054100 is about 10249.5902357119. The cubic root of 105054100 is about 471.8504086420.

The spelling of 105054100 in words is "one hundred five million, fifty-four thousand, one hundred".