106617512200 has 48 divisors (see below), whose sum is σ = 248026039380. Its totient is φ = 42622863360.

The previous prime is 106617512179. The next prime is 106617512213. The reversal of 106617512200 is 2215716601.

It can be written as a sum of positive squares in 6 ways, for example, as 74366380804 + 32251131396 = 272702^2 + 179586^2 .

It is a super-2 number, since 2×106617512200² (a number of 23 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, 205404 + ... + 505396.

Almost surely, 2^106617512200 is an apocalyptic number.

106617512200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106617512200 is an abundant number, since it is smaller than the sum of its proper divisors (141408527180).

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

106617512200 is a wasteful number, since it uses less digits than its factorization.

106617512200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301786 (or 301777 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 106617512200 in words is "one hundred six billion, six hundred seventeen million, five hundred twelve thousand, two hundred".