103027680 has 192 divisors, whose sum is σ = 412231680. Its totient is φ = 23542272.

The previous prime is 103027679. The next prime is 103027693. The reversal of 103027680 is 86720301.

It is a super-2 number, since 2×103027680² = 21229405692364800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28537 + ... + 31943.

It is an arithmetic number, because the mean of its divisors is an integer number (2147040).

Almost surely, 2^103027680 is an apocalyptic number.

103027680 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 103027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206115840).

103027680 is an abundant number, since it is smaller than the sum of its proper divisors (309204000).

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

103027680 is a wasteful number, since it uses less digits than its factorization.

103027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3424 counting only the distinct ones).

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

The square root of 103027680 is about 10150.2551692063. The cubic root of 103027680 is about 468.7968017270.

Adding to 103027680 its reverse (86720301), we get a palindrome (189747981).

The spelling of 103027680 in words is "one hundred three million, twenty-seven thousand, six hundred eighty".