102038112 has 144 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 29894400.

The previous prime is 102038107. The next prime is 102038149. The reversal of 102038112 is 211830201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97689 + ... + 98727.

It is an arithmetic number, because the mean of its divisors is an integer number (2271360).

Almost surely, 2^102038112 is an apocalyptic number.

102038112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

102038112 is an abundant number, since it is smaller than the sum of its proper divisors (225037728).

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

102038112 is a wasteful number, since it uses less digits than its factorization.

102038112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102038112 is about 10101.3915873012. The cubic root of 102038112 is about 467.2910589853.

Adding to 102038112 its reverse (211830201), we get a palindrome (313868313).

The spelling of 102038112 in words is "one hundred two million, thirty-eight thousand, one hundred twelve".