103021413264 has 240 divisors, whose sum is σ = 360354733440. Its totient is φ = 26692208640.

The previous prime is 103021413239. The next prime is 103021413323. The reversal of 103021413264 is 462314120301.

It is a happy number.

It is a super-2 number, since 2×103021413264² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4523634 + ... + 4546350.

It is an arithmetic number, because the mean of its divisors is an integer number (1501478056).

Almost surely, 2^103021413264 is an apocalyptic number.

103021413264 is a gapful number since it is divisible by the number (14) 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 103021413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180177366720).

103021413264 is an abundant number, since it is smaller than the sum of its proper divisors (257333320176).

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

103021413264 is a wasteful number, since it uses less digits than its factorization.

103021413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23158 (or 23149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103021413264 its reverse (462314120301), we get a palindrome (565335533565).

The spelling of 103021413264 in words is "one hundred three billion, twenty-one million, four hundred thirteen thousand, two hundred sixty-four".