102085038 has 48 divisors (see below), whose sum is σ = 243343152. Its totient is φ = 30927600.

The previous prime is 102085037. The next prime is 102085057. The reversal of 102085038 is 830580201.

It is a happy number.

It is a super-2 number, since 2×102085038² = 20842709966922888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102085037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21828 + ... + 26088.

It is an arithmetic number, because the mean of its divisors is an integer number (5069649).

Almost surely, 2^102085038 is an apocalyptic number.

102085038 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 102085038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121671576).

102085038 is an abundant number, since it is smaller than the sum of its proper divisors (141258114).

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

102085038 is a wasteful number, since it uses less digits than its factorization.

102085038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102085038 is about 10103.7140695885. The cubic root of 102085038 is about 467.3626816996.

The spelling of 102085038 in words is "one hundred two million, eighty-five thousand, thirty-eight".