103101241032 has 96 divisors (see below), whose sum is σ = 289063452600. Its totient is φ = 33158780928.

The previous prime is 103101241027. The next prime is 103101241039. The reversal of 103101241032 is 230142101301.

It can be written as a sum of positive squares in 4 ways, for example, as 99637447716 + 3463793316 = 315654^2 + 58854^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103101240996 and 103101241014.

It is not an unprimeable number, because it can be changed into a prime (103101241039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100848 + ... + 3133920.

Almost surely, 2^103101241032 is an apocalyptic number.

103101241032 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 103101241032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144531726300).

103101241032 is an abundant number, since it is smaller than the sum of its proper divisors (185962211568).

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

103101241032 is a wasteful number, since it uses less digits than its factorization.

103101241032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607 (or 34600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103101241032 its reverse (230142101301), we get a palindrome (333243342333).

The spelling of 103101241032 in words is "one hundred three billion, one hundred one million, two hundred forty-one thousand, thirty-two".