103253220000 has 1080 divisors, whose sum is σ = 444513285216. Its totient is φ = 22260096000.

The previous prime is 103253219977. The next prime is 103253220047. The reversal of 103253220000 is 22352301.

It is a super-2 number, since 2×103253220000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 454859887 + ... + 454860113.

Almost surely, 2^103253220000 is an apocalyptic number.

103253220000 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 103253220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222256642608).

103253220000 is an abundant number, since it is smaller than the sum of its proper divisors (341260065216).

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

103253220000 is a wasteful number, since it uses less digits than its factorization.

103253220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 103253220000 its reverse (22352301), we get a palindrome (103275572301).

The spelling of 103253220000 in words is "one hundred three billion, two hundred fifty-three million, two hundred twenty thousand".