103867920 has 280 divisors, whose sum is σ = 392771736. Its totient is φ = 25380864.

The previous prime is 103867913. The next prime is 103867963. The reversal of 103867920 is 29768301.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 100881936 = 1728^2 + 10044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 758092 + ... + 758228.

Almost surely, 2^103867920 is an apocalyptic number.

103867920 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 103867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196385868).

103867920 is an abundant number, since it is smaller than the sum of its proper divisors (288903816).

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

103867920 is a wasteful number, since it uses less digits than its factorization.

103867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 103867920 is about 10191.5612150445. The cubic root of 103867920 is about 470.0677735374.

The spelling of 103867920 in words is "one hundred three million, eight hundred sixty-seven thousand, nine hundred twenty".