103253004288 has 520 divisors, whose sum is σ = 368027265408. Its totient is φ = 28203614208.

The previous prime is 103253004287. The next prime is 103253004299. The reversal of 103253004288 is 882400352301.

103253004288 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 530 + 0 + 42 + 88 = 666.

It is a super-2 number, since 2×103253004288² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103253004287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53414970 + ... + 53416902.

Almost surely, 2^103253004288 is an apocalyptic number.

103253004288 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 103253004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013632704).

103253004288 is an abundant number, since it is smaller than the sum of its proper divisors (264774261120).

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

103253004288 is an equidigital number, since it uses as much as digits as its factorization.

103253004288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 103253004288 its reverse (882400352301), we get a palindrome (985653356589).

The spelling of 103253004288 in words is "one hundred three billion, two hundred fifty-three million, four thousand, two hundred eighty-eight".