106294936756824 has 32 divisors (see below), whose sum is σ = 295263713214000. Its totient is φ = 35431645585536.

The previous prime is 106294936756819. The next prime is 106294936756873. The reversal of 106294936756824 is 428657639492601.

106294936756824 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 4 + 9 + 36 + 7 + 568 + 24 = 666.

It is a super-2 number, since 2×106294936756824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246053094129 + ... + 246053094560.

It is a 1-persistent number, because it is pandigital, but 2⋅106294936756824 = 212589873513648 is not.

Almost surely, 2^{106294936756824} is an apocalyptic number.

It is an amenable number.

106294936756824 is an abundant number, since it is smaller than the sum of its proper divisors (188968776457176).

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

106294936756824 is a wasteful number, since it uses less digits than its factorization.

106294936756824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492106188704 (or 492106188694 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 106294936756824 in words is "one hundred six trillion, two hundred ninety-four billion, nine hundred thirty-six million, seven hundred fifty-six thousand, eight hundred twenty-four".