105487300 has 36 divisors (see below), whose sum is σ = 232673476. Its totient is φ = 41500800.

The previous prime is 105487271. The next prime is 105487307. The reversal of 105487300 is 3784501.

It can be written as a sum of positive squares in 6 ways, for example, as 47361924 + 58125376 = 6882^2 + 7624^2 .

It is a super-2 number, since 2×105487300² = 22255140922580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105487307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547 + ... + 14746.

Almost surely, 2^105487300 is an apocalyptic number.

105487300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105487300 is an abundant number, since it is smaller than the sum of its proper divisors (127186176).

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

105487300 is a wasteful number, since it uses less digits than its factorization.

105487300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17368 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105487300 is about 10270.7010471535. The cubic root of 105487300 is about 472.4980916844.

The spelling of 105487300 in words is "one hundred five million, four hundred eighty-seven thousand, three hundred".