33404510106 has 32 divisors (see below), whose sum is σ = 80980632000. Its totient is φ = 10122578640.

The previous prime is 33404510063. The next prime is 33404510123. The reversal of 33404510106 is 60101540433.

33404510106 is a `hidden beast` number, since 3 + 3 + 40 + 4 + 510 + 106 = 666.

It is a super-2 number, since 2×33404510106² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33404510106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28117681 + ... + 28118868.

It is an arithmetic number, because the mean of its divisors is an integer number (2530644750).

Almost surely, 2^33404510106 is an apocalyptic number.

33404510106 is an abundant number, since it is smaller than the sum of its proper divisors (47576121894).

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

33404510106 is a wasteful number, since it uses less digits than its factorization.

33404510106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56236571 (or 56236565 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 33404510106 in words is "thirty-three billion, four hundred four million, five hundred ten thousand, one hundred six".