102331000 has 64 divisors (see below), whose sum is σ = 247253760. Its totient is φ = 39600000.

The previous prime is 102330961. The next prime is 102331001. The reversal of 102331000 is 133201.

It is a super-2 number, since 2×102331000² = 20943267122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29350 + ... + 32650.

It is an arithmetic number, because the mean of its divisors is an integer number (3863340).

Almost surely, 2^102331000 is an apocalyptic number.

102331000 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 102331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123626880).

102331000 is an abundant number, since it is smaller than the sum of its proper divisors (144922760).

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

102331000 is a wasteful number, since it uses less digits than its factorization.

102331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102331000 is about 10115.8786074172. The cubic root of 102331000 is about 467.7377326154.

Adding to 102331000 its reverse (133201), we get a palindrome (102464201).

It can be divided in two parts, 1023 and 31000, that added together give a palindrome (32023).

The spelling of 102331000 in words is "one hundred two million, three hundred thirty-one thousand".