102049038 has 128 divisors (see below), whose sum is σ = 294067200. Its totient is φ = 25474176.

The previous prime is 102049033. The next prime is 102049039. The reversal of 102049038 is 830940201.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102049033) 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 63 ways as a sum of consecutive naturals, for example, 92820 + ... + 93912.

It is an arithmetic number, because the mean of its divisors is an integer number (2297400).

Almost surely, 2^102049038 is an apocalyptic number.

102049038 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 102049038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147033600).

102049038 is an abundant number, since it is smaller than the sum of its proper divisors (192018162).

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

102049038 is a wasteful number, since it uses less digits than its factorization.

102049038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102049038 is about 10101.9323893996. The cubic root of 102049038 is about 467.3077371977.

Adding to 102049038 its reverse (830940201), we get a palindrome (932989239).

The spelling of 102049038 in words is "one hundred two million, forty-nine thousand, thirty-eight".