103032226752 has 448 divisors, whose sum is σ = 344325488640. Its totient is φ = 26468757504.

The previous prime is 103032226751. The next prime is 103032226753. The reversal of 103032226752 is 257622230301.

It is an interprime number because it is at equal distance from previous prime (103032226751) and next prime (103032226753).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032226751) 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 63 ways as a sum of consecutive naturals, for example, 130917303 + ... + 130918089.

It is an arithmetic number, because the mean of its divisors is an integer number (768583680).

Almost surely, 2^103032226752 is an apocalyptic number.

103032226752 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 103032226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172162744320).

103032226752 is an abundant number, since it is smaller than the sum of its proper divisors (241293261888).

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

103032226752 is a wasteful number, since it uses less digits than its factorization.

103032226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 103032226752 in words is "one hundred three billion, thirty-two million, two hundred twenty-six thousand, seven hundred fifty-two".