105254824900 has 27 divisors (see below), whose sum is σ = 228410010381. Its totient is φ = 42100632240.

The previous prime is 105254824867. The next prime is 105254824903. The reversal of 105254824900 is 9428452501.

It is a happy number.

The square root of 105254824900 is 324430.

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

It can be written as a sum of positive squares in only one way, i.e., 37891736964 + 67363087936 = 194658^2 + 259544^2 .

It is a super-2 number, since 2×105254824900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105254824903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3228079 + ... + 3260521.

Almost surely, 2^105254824900 is an apocalyptic number.

105254824900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105254824900 is the 324430-th square number.

It is an amenable number.

105254824900 is an abundant number, since it is smaller than the sum of its proper divisors (123155185481).

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

105254824900 is an frugal number, since it uses more digits than its factorization.

105254824900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64900 (or 32450 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 105254824900 in words is "one hundred five billion, two hundred fifty-four million, eight hundred twenty-four thousand, nine hundred".