106169817600 has 720 divisors, whose sum is σ = 473746553280. Its totient is φ = 22059417600.

The previous prime is 106169817569. The next prime is 106169817617. The reversal of 106169817600 is 6718961601.

106169817600 is a `hidden beast` number, since 10 + 6 + 16 + 9 + 8 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106169817600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8864416 + ... + 8876384.

It is an arithmetic number, because the mean of its divisors is an integer number (657981324).

Almost surely, 2^106169817600 is an apocalyptic number.

106169817600 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 106169817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236873276640).

106169817600 is an abundant number, since it is smaller than the sum of its proper divisors (367576735680).

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

106169817600 is a wasteful number, since it uses less digits than its factorization.

106169817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 106169817600 in words is "one hundred six billion, one hundred sixty-nine million, eight hundred seventeen thousand, six hundred".