102065400 has 192 divisors, whose sum is σ = 360914400. Its totient is φ = 26496000.

The previous prime is 102065387. The next prime is 102065429. The reversal of 102065400 is 4560201.

It is a happy number.

102065400 is a `hidden beast` number, since 10 + 2 + 0 + 654 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 221170 + ... + 221630.

Almost surely, 2^102065400 is an apocalyptic number.

102065400 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 102065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457200).

102065400 is an abundant number, since it is smaller than the sum of its proper divisors (258849000).

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

102065400 is a wasteful number, since it uses less digits than its factorization.

102065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102065400 is about 10102.7422019964. The cubic root of 102065400 is about 467.3327110754.

The spelling of 102065400 in words is "one hundred two million, sixty-five thousand, four hundred".