106806201600 has 648 divisors, whose sum is σ = 414253048608. Its totient is φ = 24161894400.

The previous prime is 106806201599. The next prime is 106806201637. The reversal of 106806201600 is 6102608601.

It is a super-2 number, since 2×106806201600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 100665070 + ... + 100666130.

It is an arithmetic number, because the mean of its divisors is an integer number (639279396).

Almost surely, 2^106806201600 is an apocalyptic number.

106806201600 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 106806201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207126524304).

106806201600 is an abundant number, since it is smaller than the sum of its proper divisors (307446847008).

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

106806201600 is a wasteful number, since it uses less digits than its factorization.

106806201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 106806201600 in words is "one hundred six billion, eight hundred six million, two hundred one thousand, six hundred".