103916736 has 336 divisors, whose sum is σ = 389168640. Its totient is φ = 26611200.

The previous prime is 103916731. The next prime is 103916777. The reversal of 103916736 is 637619301.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103916736.

It is not an unprimeable number, because it can be changed into a prime (103916731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463581 + ... + 1463651.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^103916736 is an apocalyptic number.

103916736 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 103916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

103916736 is an abundant number, since it is smaller than the sum of its proper divisors (285251904).

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

103916736 is a wasteful number, since it uses less digits than its factorization.

103916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 103916736 is about 10193.9558562905. The cubic root of 103916736 is about 470.1414030549.

The spelling of 103916736 in words is "one hundred three million, nine hundred sixteen thousand, seven hundred thirty-six".