106509009862080 has 2016 divisors, whose sum is σ = 476131701706752. Its totient is φ = 22172722790400.

The previous prime is 106509009862069. The next prime is 106509009862093. The reversal of 106509009862080 is 80268900905601.

It is a happy number.

106509009862080 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 0 + 9 + 0 + 0 + 9 + 8 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×106509009862080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4876551960 + ... + 4876573800.

Almost surely, 2^{106509009862080} is an apocalyptic number.

106509009862080 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 106509009862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238065850853376).

106509009862080 is an abundant number, since it is smaller than the sum of its proper divisors (369622691844672).

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

106509009862080 is a wasteful number, since it uses less digits than its factorization.

106509009862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21945 (or 21906 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 106509009862080 in words is "one hundred six trillion, five hundred nine billion, nine million, eight hundred sixty-two thousand, eighty".