103628736 has 168 divisors, whose sum is σ = 331652880. Its totient is φ = 30744576.

The previous prime is 103628711. The next prime is 103628741. The reversal of 103628736 is 637826301.

It is a happy number.

It is a super-3 number, since 3×103628736³ (a number of 25 digits) contains 333 as substring.

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 103628736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185770 + ... + 186326.

Almost surely, 2^103628736 is an apocalyptic number.

103628736 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 103628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

103628736 is an abundant number, since it is smaller than the sum of its proper divisors (228024144).

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

103628736 is a wasteful number, since it uses less digits than its factorization.

103628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

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

The square root of 103628736 is about 10179.8200377020. The cubic root of 103628736 is about 469.7066767933.

The spelling of 103628736 in words is "one hundred three million, six hundred twenty-eight thousand, seven hundred thirty-six".