106605106200 has 216 divisors, whose sum is σ = 380315879580. Its totient is φ = 26755660800.

The previous prime is 106605106189. The next prime is 106605106241. The reversal of 106605106200 is 2601506601.

It is a happy number.

It is a super-2 number, since 2×106605106200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 417735 + ... + 622665.

Almost surely, 2^106605106200 is an apocalyptic number.

106605106200 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 106605106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190157939790).

106605106200 is an abundant number, since it is smaller than the sum of its proper divisors (273710773380).

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

106605106200 is a wasteful number, since it uses less digits than its factorization.

106605106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204987 (or 204958 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106605106200 in words is "one hundred six billion, six hundred five million, one hundred six thousand, two hundred".