103076820 has 384 divisors, whose sum is σ = 416747520. Its totient is φ = 20528640.

The previous prime is 103076791. The next prime is 103076833. The reversal of 103076820 is 28670301.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1538427 + ... + 1538493.

It is an arithmetic number, because the mean of its divisors is an integer number (1085280).

Almost surely, 2^103076820 is an apocalyptic number.

103076820 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 103076820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

103076820 is an abundant number, since it is smaller than the sum of its proper divisors (313670700).

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

103076820 is a wasteful number, since it uses less digits than its factorization.

103076820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

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

The square root of 103076820 is about 10152.6755094408. The cubic root of 103076820 is about 468.8713221966.

The spelling of 103076820 in words is "one hundred three million, seventy-six thousand, eight hundred twenty".