103131630 has 224 divisors, whose sum is σ = 332411904. Its totient is φ = 22534848.

The previous prime is 103131619. The next prime is 103131649. The reversal of 103131630 is 36131301.

103131630 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 31 + 630 = 666.

It is a super-2 number, since 2×103131630² = 21272266212913800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2194267 + ... + 2194313.

Almost surely, 2^103131630 is an apocalyptic number.

103131630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166205952).

103131630 is an abundant number, since it is smaller than the sum of its proper divisors (229280274).

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

103131630 is an equidigital number, since it uses as much as digits as its factorization.

103131630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 103131630 is about 10155.3744391824. The cubic root of 103131630 is about 468.9544132462.

Adding to 103131630 its reverse (36131301), we get a palindrome (139262931).

The spelling of 103131630 in words is "one hundred three million, one hundred thirty-one thousand, six hundred thirty".