100414033029 has 48 divisors (see below), whose sum is σ = 154232807040. Its totient is φ = 62817448320.

The previous prime is 100414033009. The next prime is 100414033051. The reversal of 100414033029 is 920330414001.

It is not a de Polignac number, because 100414033029 - 2⁹ = 100414032517 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100414032993 and 100414033011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414033009) 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, 4901682 + ... + 4922124.

It is an arithmetic number, because the mean of its divisors is an integer number (3213183480).

Almost surely, 2^100414033029 is an apocalyptic number.

It is an amenable number.

100414033029 is a deficient number, since it is larger than the sum of its proper divisors (53818774011).

100414033029 is a wasteful number, since it uses less digits than its factorization.

100414033029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20922 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 100414033029 in words is "one hundred billion, four hundred fourteen million, thirty-three thousand, twenty-nine".