102409506 has 48 divisors (see below), whose sum is σ = 234692640. Its totient is φ = 32184000.

The previous prime is 102409499. The next prime is 102409507. The reversal of 102409506 is 605904201.

It is a self number, because there is not a number n which added to its sum of digits gives 102409506.

It is not an unprimeable number, because it can be changed into a prime (102409507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85246 + ... + 86438.

It is an arithmetic number, because the mean of its divisors is an integer number (4889430).

Almost surely, 2^102409506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102409506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117346320).

102409506 is an abundant number, since it is smaller than the sum of its proper divisors (132283134).

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

102409506 is a wasteful number, since it uses less digits than its factorization.

102409506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102409506 is about 10119.7581986923. The cubic root of 102409506 is about 467.8573145998.

The spelling of 102409506 in words is "one hundred two million, four hundred nine thousand, five hundred six".