101623200 has 288 divisors, whose sum is σ = 395974656. Its totient is φ = 22133760.

The previous prime is 101623169. The next prime is 101623211. The reversal of 101623200 is 2326101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101623200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 386269 + ... + 386531.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^101623200 is an apocalyptic number.

101623200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

101623200 is an abundant number, since it is smaller than the sum of its proper divisors (294351456).

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

101623200 is a wasteful number, since it uses less digits than its factorization.

101623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101623200 is about 10080.8332988895. The cubic root of 101623200 is about 466.6568251893.

Adding to 101623200 its reverse (2326101), we get a palindrome (103949301).

The spelling of 101623200 in words is "one hundred one million, six hundred twenty-three thousand, two hundred".