103106433330 has 192 divisors, whose sum is σ = 282874370688. Its totient is φ = 27015690240.

The previous prime is 103106433323. The next prime is 103106433379. The reversal of 103106433330 is 33334601301.

103106433330 is a `hidden beast` number, since 1 + 0 + 3 + 10 + 643 + 3 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103106433294 and 103106433303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109570660 + ... + 109571600.

It is an arithmetic number, because the mean of its divisors is an integer number (1473304014).

Almost surely, 2^103106433330 is an apocalyptic number.

103106433330 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 103106433330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141437185344).

103106433330 is an abundant number, since it is smaller than the sum of its proper divisors (179767937358).

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

103106433330 is an equidigital number, since it uses as much as digits as its factorization.

103106433330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The spelling of 103106433330 in words is "one hundred three billion, one hundred six million, four hundred thirty-three thousand, three hundred thirty".