102368000 has 144 divisors (see below), whose sum is σ = 292079424. Its totient is φ = 35020800.

The previous prime is 102367987. The next prime is 102368003. The reversal of 102368000 is 863201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102368003) 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 15 ways as a sum of consecutive naturals, for example, 223772 + ... + 224228.

Almost surely, 2^102368000 is an apocalyptic number.

102368000 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 102368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146039712).

102368000 is an abundant number, since it is smaller than the sum of its proper divisors (189711424).

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

102368000 is an frugal number, since it uses more digits than its factorization.

102368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102368000 is about 10117.7072501630. The cubic root of 102368000 is about 467.7940994078.

102368000 divided by its sum of digits (20) gives a triangular number (5118400 = T₃₁₉₉).

The spelling of 102368000 in words is "one hundred two million, three hundred sixty-eight thousand".