100103432314032 has 360 divisors, whose sum is σ = 335021407019520. Its totient is φ = 27327988396800.

The previous prime is 100103432314027. The next prime is 100103432314091. The reversal of 100103432314032 is 230413234301001.

It is a happy number.

100103432314032 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 343 + 2 + 314 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×100103432314032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100103432313987 and 100103432314005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75872307 + ... + 77180397.

Almost surely, 2^{100103432314032} is an apocalyptic number.

100103432314032 is a gapful number since it is divisible by the number (12) 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 100103432314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167510703509760).

100103432314032 is an abundant number, since it is smaller than the sum of its proper divisors (234917974705488).

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

100103432314032 is a wasteful number, since it uses less digits than its factorization.

100103432314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308253 (or 1308213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100103432314032 its reverse (230413234301001), we get a palindrome (330516666615033).

The spelling of 100103432314032 in words is "one hundred trillion, one hundred three billion, four hundred thirty-two million, three hundred fourteen thousand, thirty-two".