10102368 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3294336.

The previous prime is 10102363. The next prime is 10102387. The reversal of 10102368 is 86320101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3393 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 2^10102368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10102368 is an abundant number, since it is smaller than the sum of its proper divisors (16992672).

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

10102368 is a wasteful number, since it uses less digits than its factorization.

10102368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10102368 is about 3178.4222501109. The cubic root of 10102368 is about 216.1761252109.

Adding to 10102368 its reverse (86320101), we get a palindrome (96422469).

It can be divided in two parts, 10 and 102368, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 10102368 in words is "ten million, one hundred two thousand, three hundred sixty-eight".