102009690 has 96 divisors (see below), whose sum is σ = 285691536. Its totient is φ = 25159680.

The previous prime is 102009679. The next prime is 102009709. The reversal of 102009690 is 96900201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61826769 + 40182921 = 7863^2 + 6339^2 .

It is a super-2 number, since 2×102009690² = 20811953707792200, which contains 22 as substring.

It is a Curzon 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, 92784 + ... + 93876.

Almost surely, 2^102009690 is an apocalyptic number.

102009690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102009690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142845768).

102009690 is an abundant number, since it is smaller than the sum of its proper divisors (183681846).

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

102009690 is a wasteful number, since it uses less digits than its factorization.

102009690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102009690 is about 10099.9846534537. The cubic root of 102009690 is about 467.2476680747.

Adding to 102009690 its reverse (96900201), we get a palindrome (198909891).

The spelling of 102009690 in words is "one hundred two million, nine thousand, six hundred ninety".