102818100 has 144 divisors (see below), whose sum is σ = 370976256. Its totient is φ = 21360000.

The previous prime is 102818087. The next prime is 102818113. The reversal of 102818100 is 1818201.

It is an interprime number because it is at equal distance from previous prime (102818087) and next prime (102818113).

It is a super-2 number, since 2×102818100² = 21143123375220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20875 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (2576224).

Almost surely, 2^102818100 is an apocalyptic number.

102818100 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 102818100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185488128).

102818100 is an abundant number, since it is smaller than the sum of its proper divisors (268158156).

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

102818100 is a wasteful number, since it uses less digits than its factorization.

102818100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 102818100 is about 10139.9260352332. The cubic root of 102818100 is about 468.4787087970.

It can be divided in two parts, 10281 and 8100, that added together give a palindrome (18381).

The spelling of 102818100 in words is "one hundred two million, eight hundred eighteen thousand, one hundred".