103626684 has 144 divisors (see below), whose sum is σ = 329172480. Its totient is φ = 26801280.

The previous prime is 103626671. The next prime is 103626829. The reversal of 103626684 is 486626301.

It is a super-3 number, since 3×103626684³ (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109654 + ... + 110594.

It is an arithmetic number, because the mean of its divisors is an integer number (2285920).

Almost surely, 2^103626684 is an apocalyptic number.

103626684 is a gapful number since it is divisible by the number (14) 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 103626684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164586240).

103626684 is an abundant number, since it is smaller than the sum of its proper divisors (225545796).

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

103626684 is a wasteful number, since it uses less digits than its factorization.

103626684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 103626684 is about 10179.7192495668. The cubic root of 103626684 is about 469.7035764806.

The spelling of 103626684 in words is "one hundred three million, six hundred twenty-six thousand, six hundred eighty-four".