103014211300 has 144 divisors (see below), whose sum is σ = 300139039872. Its totient is φ = 29638425600.

The previous prime is 103014211297. The next prime is 103014211303. The reversal of 103014211300 is 3112410301.

It is an interprime number because it is at equal distance from previous prime (103014211297) and next prime (103014211303).

It is a super-2 number, since 2×103014211300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103014211303) 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 47 ways as a sum of consecutive naturals, for example, 414457 + ... + 614656.

It is an arithmetic number, because the mean of its divisors is an integer number (2084298888).

Almost surely, 2^103014211300 is an apocalyptic number.

103014211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103014211300 is an abundant number, since it is smaller than the sum of its proper divisors (197124828572).

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

103014211300 is a wasteful number, since it uses less digits than its factorization.

103014211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029158 (or 1029151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103014211300 its reverse (3112410301), we get a palindrome (106126621601).

The spelling of 103014211300 in words is "one hundred three billion, fourteen million, two hundred eleven thousand, three hundred".