105690660200 has 96 divisors (see below), whose sum is σ = 250525884960. Its totient is φ = 41452320000.

The previous prime is 105690660181. The next prime is 105690660209. The reversal of 105690660200 is 2066096501.

It is a happy number.

It is a Cunningham number, because it is equal to 325101²-1.

It is a super-2 number, since 2×105690660200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105690660209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32508575 + ... + 32511825.

It is an arithmetic number, because the mean of its divisors is an integer number (2609644635).

Almost surely, 2^105690660200 is an apocalyptic number.

105690660200 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 105690660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125262942480).

105690660200 is an abundant number, since it is smaller than the sum of its proper divisors (144835224760).

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

105690660200 is a wasteful number, since it uses less digits than its factorization.

105690660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 105690660200 in words is "one hundred five billion, six hundred ninety million, six hundred sixty thousand, two hundred".