106333467660 has 480 divisors, whose sum is σ = 396698480640. Its totient is φ = 23331110400.

The previous prime is 106333467601. The next prime is 106333467689. The reversal of 106333467660 is 66764333601.

106333467660 is a `hidden beast` number, since 1 + 0 + 633 + 3 + 4 + 6 + 7 + 6 + 6 + 0 = 666.

It is a super-2 number, since 2×106333467660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 46050586 + ... + 46052894.

It is an arithmetic number, because the mean of its divisors is an integer number (826455168).

Almost surely, 2^106333467660 is an apocalyptic number.

106333467660 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 106333467660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198349240320).

106333467660 is an abundant number, since it is smaller than the sum of its proper divisors (290365012980).

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

106333467660 is a wasteful number, since it uses less digits than its factorization.

106333467660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 106333467660 in words is "one hundred six billion, three hundred thirty-three million, four hundred sixty-seven thousand, six hundred sixty".