103138020 has 72 divisors (see below), whose sum is σ = 315946176. Its totient is φ = 27231552.

The previous prime is 103137989. The next prime is 103138027. The reversal of 103138020 is 20831301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103137984 and 103138002.

It is not an unprimeable number, because it can be changed into a prime (103138027) 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, 15759 + ... + 21321.

Almost surely, 2^103138020 is an apocalyptic number.

103138020 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 103138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157973088).

103138020 is an abundant number, since it is smaller than the sum of its proper divisors (212808156).

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

103138020 is a wasteful number, since it uses less digits than its factorization.

103138020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103138020 is about 10155.6890460470. The cubic root of 103138020 is about 468.9640984637.

Adding to 103138020 its reverse (20831301), we get a palindrome (123969321).

The spelling of 103138020 in words is "one hundred three million, one hundred thirty-eight thousand, twenty".