103631660 has 96 divisors (see below), whose sum is σ = 254560320. Its totient is φ = 35312640.

The previous prime is 103631639. The next prime is 103631707. The reversal of 103631660 is 66136301.

It is a super-3 number, since 3×103631660³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452426 + ... + 452654.

It is an arithmetic number, because the mean of its divisors is an integer number (2651670).

Almost surely, 2^103631660 is an apocalyptic number.

103631660 is a gapful number since it is divisible by the number (10) 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 103631660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127280160).

103631660 is an abundant number, since it is smaller than the sum of its proper divisors (150928660).

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

103631660 is a wasteful number, since it uses less digits than its factorization.

103631660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 103631660 is about 10179.9636541591. The cubic root of 103631660 is about 469.7110945172.

Adding to 103631660 its reverse (66136301), we get a palindrome (169767961).

The spelling of 103631660 in words is "one hundred three million, six hundred thirty-one thousand, six hundred sixty".