101663200 has 36 divisors (see below), whose sum is σ = 248187240. Its totient is φ = 40664960.

The previous prime is 101663189. The next prime is 101663203. The reversal of 101663200 is 2366101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101663203) 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 5 ways as a sum of consecutive naturals, for example, 62740 + ... + 64339.

It is an arithmetic number, because the mean of its divisors is an integer number (6894090).

Almost surely, 2^101663200 is an apocalyptic number.

101663200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101663200 is an abundant number, since it is smaller than the sum of its proper divisors (146524040).

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

101663200 is a wasteful number, since it uses less digits than its factorization.

101663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127099 (or 127086 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 101663200 is about 10082.8170666734. The cubic root of 101663200 is about 466.7180442300.

It can be divided in two parts, 10166 and 3200, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 101663200 in words is "one hundred one million, six hundred sixty-three thousand, two hundred".