106646900460200 has 48 divisors (see below), whose sum is σ = 249618164737500. Its totient is φ = 42372459768320.

The previous prime is 106646900460091. The next prime is 106646900460277. The reversal of 106646900460200 is 2064009646601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37506976998436 + 69139923461764 = 6124294^2 + 8315042^2 .

It is a super-2 number, since 2×106646900460200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1789347725 + ... + 1789407324.

Almost surely, 2^{106646900460200} is an apocalyptic number.

106646900460200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106646900460200 is an abundant number, since it is smaller than the sum of its proper divisors (142971264277300).

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

106646900460200 is a wasteful number, since it uses less digits than its factorization.

106646900460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578755214 (or 3578755205 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 106646900460200 in words is "one hundred six trillion, six hundred forty-six billion, nine hundred million, four hundred sixty thousand, two hundred".