103214123300 has 144 divisors (see below), whose sum is σ = 241238049360. Its totient is φ = 38250455040.

The previous prime is 103214123293. The next prime is 103214123333. The reversal of 103214123300 is 3321412301.

It can be written as a sum of positive squares in 24 ways, for example, as 30990785764 + 72223337536 = 176042^2 + 268744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7826312 + ... + 7839488.

Almost surely, 2^103214123300 is an apocalyptic number.

103214123300 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 103214123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120619024680).

103214123300 is an abundant number, since it is smaller than the sum of its proper divisors (138023926060).

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

103214123300 is a wasteful number, since it uses less digits than its factorization.

103214123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13330 (or 13323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103214123300 its reverse (3321412301), we get a palindrome (106535535601).

The spelling of 103214123300 in words is "one hundred three billion, two hundred fourteen million, one hundred twenty-three thousand, three hundred".