101432200 has 48 divisors (see below), whose sum is σ = 249710580. Its totient is φ = 38184960.

The previous prime is 101432159. The next prime is 101432213. The reversal of 101432200 is 2234101.

It can be written as a sum of positive squares in 6 ways, for example, as 47527236 + 53904964 = 6894^2 + 7342^2 .

It is an unprimeable number.

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, 11517 + ... + 18316.

Almost surely, 2^101432200 is an apocalyptic number.

101432200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101432200 is an abundant number, since it is smaller than the sum of its proper divisors (148278380).

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

101432200 is a wasteful number, since it uses less digits than its factorization.

101432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29866 (or 29857 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 101432200 is about 10071.3554202004. The cubic root of 101432200 is about 466.3642825658.

Adding to 101432200 its reverse (2234101), we get a palindrome (103666301).

The spelling of 101432200 in words is "one hundred one million, four hundred thirty-two thousand, two hundred".