103869072 has 120 divisors (see below), whose sum is σ = 303110808. Its totient is φ = 33177600.

The previous prime is 103869061. The next prime is 103869079. The reversal of 103869072 is 270968301.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 96118416 = 2784^2 + 9804^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (103869079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430872 + ... + 431112.

Almost surely, 2^103869072 is an apocalyptic number.

103869072 is a gapful number since it is divisible by the number (12) 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 103869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151555404).

103869072 is an abundant number, since it is smaller than the sum of its proper divisors (199241736).

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

103869072 is a wasteful number, since it uses less digits than its factorization.

103869072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

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

The square root of 103869072 is about 10191.6177322347. The cubic root of 103869072 is about 470.0695113728.

The spelling of 103869072 in words is "one hundred three million, eight hundred sixty-nine thousand, seventy-two".