103033827360 has 336 divisors, whose sum is σ = 373464774144. Its totient is φ = 26835411456.

The previous prime is 103033827359. The next prime is 103033827367. The reversal of 103033827360 is 63728330301.

It is a happy number.

It is a super-3 number, since 3×103033827360³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103033827367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5005249 + ... + 5025791.

It is an arithmetic number, because the mean of its divisors is an integer number (1111502304).

Almost surely, 2^103033827360 is an apocalyptic number.

103033827360 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 103033827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732387072).

103033827360 is an abundant number, since it is smaller than the sum of its proper divisors (270430946784).

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

103033827360 is an equidigital number, since it uses as much as digits as its factorization.

103033827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20619 (or 20596 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 103033827360 in words is "one hundred three billion, thirty-three million, eight hundred twenty-seven thousand, three hundred sixty".