102038760 has 96 divisors (see below), whose sum is σ = 351154440. Its totient is φ = 25608192.

The previous prime is 102038753. The next prime is 102038801. The reversal of 102038760 is 67830201.

It can be written as a sum of positive squares in 4 ways, for example, as 101727396 + 311364 = 10086^2 + 558^2 .

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, 2217 + ... + 14456.

Almost surely, 2^102038760 is an apocalyptic number.

102038760 is a gapful number since it is divisible by the number (10) 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 102038760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175577220).

102038760 is an abundant number, since it is smaller than the sum of its proper divisors (249115680).

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

102038760 is a wasteful number, since it uses less digits than its factorization.

102038760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16707 (or 16700 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102038760 is about 10101.4236620389. The cubic root of 102038760 is about 467.2920481712.

Adding to 102038760 its reverse (67830201), we get a palindrome (169868961).

The spelling of 102038760 in words is "one hundred two million, thirty-eight thousand, seven hundred sixty".