103836672 has 132 divisors (see below), whose sum is σ = 316138680. Its totient is φ = 32735232.

The previous prime is 103836671. The next prime is 103836673. The reversal of 103836672 is 276638301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103836671) and next prime (103836673).

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 (103836671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174808 + ... + 175400.

It is an arithmetic number, because the mean of its divisors is an integer number (2394990).

Almost surely, 2^103836672 is an apocalyptic number.

103836672 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 103836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158069340).

103836672 is an abundant number, since it is smaller than the sum of its proper divisors (212302008).

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

103836672 is a wasteful number, since it uses less digits than its factorization.

103836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 103836672 is about 10190.0280666934. The cubic root of 103836672 is about 470.0206298475.

The spelling of 103836672 in words is "one hundred three million, eight hundred thirty-six thousand, six hundred seventy-two".