106806504420 has 504 divisors, whose sum is σ = 426784776768. Its totient is φ = 22191926400.

The previous prime is 106806504313. The next prime is 106806504421. The reversal of 106806504420 is 24405608601.

106806504420 is a `hidden beast` number, since 106 + 8 + 0 + 6 + 504 + 42 + 0 = 666.

It is a super-2 number, since 2×106806504420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106806504421) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7851825 + ... + 7865415.

It is an arithmetic number, because the mean of its divisors is an integer number (846795192).

Almost surely, 2^106806504420 is an apocalyptic number.

106806504420 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 106806504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213392388384).

106806504420 is an abundant number, since it is smaller than the sum of its proper divisors (319978272348).

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

106806504420 is a wasteful number, since it uses less digits than its factorization.

106806504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13643 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 106806504420 in words is "one hundred six billion, eight hundred six million, five hundred four thousand, four hundred twenty".