123344340100 has 144 divisors (see below), whose sum is σ = 277772846400. Its totient is φ = 47513157120.

The previous prime is 123344340083. The next prime is 123344340107. The reversal of 123344340100 is 1043443321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123344340107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148786486 + ... + 148787314.

It is an arithmetic number, because the mean of its divisors is an integer number (1928978100).

Almost surely, 2^123344340100 is an apocalyptic number.

123344340100 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 123344340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138886423200).

123344340100 is an abundant number, since it is smaller than the sum of its proper divisors (154428506300).

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

123344340100 is a wasteful number, since it uses less digits than its factorization.

123344340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 123344340100 its reverse (1043443321), we get a palindrome (124387783421).

The spelling of 123344340100 in words is "one hundred twenty-three billion, three hundred forty-four million, three hundred forty thousand, one hundred".