103226068008 has 256 divisors, whose sum is σ = 330765926400. Its totient is φ = 29218786560.

The previous prime is 103226067983. The next prime is 103226068027. The reversal of 103226068008 is 800860622301.

103226068008 is a `hidden beast` number, since 10 + 32 + 2 + 606 + 8 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×103226068008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94963641 + ... + 94964727.

It is an arithmetic number, because the mean of its divisors is an integer number (1292054400).

Almost surely, 2^103226068008 is an apocalyptic number.

103226068008 is a gapful number since it is divisible by the number (18) 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 103226068008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165382963200).

103226068008 is an abundant number, since it is smaller than the sum of its proper divisors (227539858392).

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

103226068008 is a wasteful number, since it uses less digits than its factorization.

103226068008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 103226068008 in words is "one hundred three billion, two hundred twenty-six million, sixty-eight thousand, eight".