105472900 has 81 divisors (see below), whose sum is σ = 251013231. Its totient is φ = 38450880.

The previous prime is 105472897. The next prime is 105472901. The reversal of 105472900 is 9274501.

It is a happy number.

The square root of 105472900 is 10270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27185796 + 78287104 = 5214^2 + 8848^2 .

It is a super-2 number, since 2×105472900² = 22249065268820000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105472901) 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 26 ways as a sum of consecutive naturals, for example, 1335061 + ... + 1335139.

Almost surely, 2^105472900 is an apocalyptic number.

105472900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105472900 is the 10270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105472900

105472900 is an abundant number, since it is smaller than the sum of its proper divisors (145540331).

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

105472900 is a wasteful number, since it uses less digits than its factorization.

105472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The cubic root of 105472900 is about 472.4765905743.

The spelling of 105472900 in words is "one hundred five million, four hundred seventy-two thousand, nine hundred".