103873536 has 264 divisors, whose sum is σ = 351920240. Its totient is φ = 30081024.

The previous prime is 103873531. The next prime is 103873559. The reversal of 103873536 is 635378301.

It is a super-2 number, since 2×103873536² = 21579422962286592, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103873536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103873531) 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, 6110200 + ... + 6110216.

Almost surely, 2^103873536 is an apocalyptic number.

103873536 is a gapful number since it is divisible by the number (16) 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 103873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175960120).

103873536 is an abundant number, since it is smaller than the sum of its proper divisors (248046704).

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

103873536 is a wasteful number, since it uses less digits than its factorization.

103873536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 103873536 is about 10191.8367333862. The cubic root of 103873536 is about 470.0762453640.

The spelling of 103873536 in words is "one hundred three million, eight hundred seventy-three thousand, five hundred thirty-six".