102084450 has 72 divisors (see below), whose sum is σ = 274210128. Its totient is φ = 25122240.

The previous prime is 102084431. The next prime is 102084469. The reversal of 102084450 is 54480201.

It is an interprime number because it is at equal distance from previous prime (102084431) and next prime (102084469).

It is a self number, because there is not a number n which added to its sum of digits gives 102084450.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23337 + ... + 27363.

It is an arithmetic number, because the mean of its divisors is an integer number (3808474).

Almost surely, 2^102084450 is an apocalyptic number.

102084450 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 102084450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137105064).

102084450 is an abundant number, since it is smaller than the sum of its proper divisors (172125678).

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

102084450 is a wasteful number, since it uses less digits than its factorization.

102084450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 102084450 is about 10103.6849713360. The cubic root of 102084450 is about 467.3617843765.

The spelling of 102084450 in words is "one hundred two million, eighty-four thousand, four hundred fifty".