102106818 has 60 divisors (see below), whose sum is σ = 251533590. Its totient is φ = 30935520.

The previous prime is 102106801. The next prime is 102106819. The reversal of 102106818 is 818601201.

It can be written as a sum of positive squares in only one way, i.e., 58110129 + 43996689 = 7623^2 + 6633^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102106791 and 102106800.

It is not an unprimeable number, because it can be changed into a prime (102106819) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16998 + ... + 22206.

Almost surely, 2^102106818 is an apocalyptic number.

102106818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102106818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125766795).

102106818 is an abundant number, since it is smaller than the sum of its proper divisors (149426772).

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

102106818 is a wasteful number, since it uses less digits than its factorization.

102106818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 102106818 is about 10104.7918335807. The cubic root of 102106818 is about 467.3959168519.

The spelling of 102106818 in words is "one hundred two million, one hundred six thousand, eight hundred eighteen".