103227812352 has 360 divisors, whose sum is σ = 366962551956. Its totient is φ = 27757707264.

The previous prime is 103227812329. The next prime is 103227812393. The reversal of 103227812352 is 253218722301.

103227812352 is a `hidden beast` number, since 1 + 0 + 3 + 227 + 81 + 2 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85254656256 + 17973156096 = 291984^2 + 134064^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3825018 + ... + 3851910.

Almost surely, 2^103227812352 is an apocalyptic number.

103227812352 is a gapful number since it is divisible by the number (12) 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 103227812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183481275978).

103227812352 is an abundant number, since it is smaller than the sum of its proper divisors (263734739604).

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

103227812352 is a wasteful number, since it uses less digits than its factorization.

103227812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26948 (or 26922 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 103227812352 in words is "one hundred three billion, two hundred twenty-seven million, eight hundred twelve thousand, three hundred fifty-two".