102066400 has 36 divisors (see below), whose sum is σ = 249171552. Its totient is φ = 40826240.

The previous prime is 102066383. The next prime is 102066409. The reversal of 102066400 is 4660201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102066409) 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, 62992 + ... + 64591.

It is an arithmetic number, because the mean of its divisors is an integer number (6921432).

Almost surely, 2^102066400 is an apocalyptic number.

102066400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102066400 is an abundant number, since it is smaller than the sum of its proper divisors (147105152).

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

102066400 is a wasteful number, since it uses less digits than its factorization.

102066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127603 (or 127590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 102066400 is about 10102.7916933885. The cubic root of 102066400 is about 467.3342373229.

The spelling of 102066400 in words is "one hundred two million, sixty-six thousand, four hundred".