103014414220 has 144 divisors (see below), whose sum is σ = 232319102400. Its totient is φ = 38322547200.

The previous prime is 103014414197. The next prime is 103014414241. The reversal of 103014414220 is 22414410301.

It is a happy number.

It is a super-2 number, since 2×103014414220² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103014414191 and 103014414200.

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, 234656761 + ... + 234657199.

It is an arithmetic number, because the mean of its divisors is an integer number (1613327100).

Almost surely, 2^103014414220 is an apocalyptic number.

103014414220 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 103014414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116159551200).

103014414220 is an abundant number, since it is smaller than the sum of its proper divisors (129304688180).

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

103014414220 is a wasteful number, since it uses less digits than its factorization.

103014414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 103014414220 its reverse (22414410301), we get a palindrome (125428824521).

The spelling of 103014414220 in words is "one hundred three billion, fourteen million, four hundred fourteen thousand, two hundred twenty".