102433200 has 60 divisors (see below), whose sum is σ = 328131528. Its totient is φ = 27315200.

The previous prime is 102433189. The next prime is 102433231. The reversal of 102433200 is 2334201.

It is a tau number, because it is divible by the number of its divisors (60).

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 102433200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41481 + ... + 43880.

Almost surely, 2^102433200 is an apocalyptic number.

102433200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102433200 is an abundant number, since it is smaller than the sum of its proper divisors (225698328).

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

102433200 is a wasteful number, since it uses less digits than its factorization.

102433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85382 (or 85371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102433200 is about 10120.9288111319. The cubic root of 102433200 is about 467.8933937908.

Adding to 102433200 its reverse (2334201), we get a palindrome (104767401).

The spelling of 102433200 in words is "one hundred two million, four hundred thirty-three thousand, two hundred".