103123103300100 has 432 divisors, whose sum is σ = 361379881873920. Its totient is φ = 25356752179200.

The previous prime is 103123103300071. The next prime is 103123103300131. The reversal of 103123103300100 is 1003301321301.

It is a happy number.

103123103300100 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 231 + 0 + 330 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293295405 + ... + 293646795.

Almost surely, 2^{103123103300100} is an apocalyptic number.

103123103300100 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 103123103300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180689940936960).

103123103300100 is an abundant number, since it is smaller than the sum of its proper divisors (258256778573820).

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

103123103300100 is a wasteful number, since it uses less digits than its factorization.

103123103300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352362 (or 352343 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103123103300100 its reverse (1003301321301), we get a palindrome (104126404621401).

The spelling of 103123103300100 in words is "one hundred three trillion, one hundred twenty-three billion, one hundred three million, three hundred thousand, one hundred".