102023200 has 36 divisors (see below), whose sum is σ = 249066090. Its totient is φ = 40808960.

The previous prime is 102023177. The next prime is 102023203. The reversal of 102023200 is 2320201.

It can be written as a sum of positive squares in 3 ways, for example, as 72386064 + 29637136 = 8508^2 + 5444^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102023203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62965 + ... + 64564.

Almost surely, 2^102023200 is an apocalyptic number.

102023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102023200 is an abundant number, since it is smaller than the sum of its proper divisors (147042890).

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

102023200 is a wasteful number, since it uses less digits than its factorization.

102023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127549 (or 127536 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102023200 is about 10100.6534442084. The cubic root of 102023200 is about 467.2682943418.

Adding to 102023200 its reverse (2320201), we get a palindrome (104343401).

The spelling of 102023200 in words is "one hundred two million, twenty-three thousand, two hundred".