106470088000 has 56 divisors (see below), whose sum is σ = 263673192744. Its totient is φ = 42588032000.

The previous prime is 106470087959. The next prime is 106470088009. The reversal of 106470088000 is 880074601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 106166492224 = 17424^2 + 325832^2 .

It is a super-3 number, since 3×106470088000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106470088009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6646381 + ... + 6662380.

Almost surely, 2^106470088000 is an apocalyptic number.

106470088000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106470088000 is an abundant number, since it is smaller than the sum of its proper divisors (157203104744).

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

106470088000 is an equidigital number, since it uses as much as digits as its factorization.

106470088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13308788 (or 13308768 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 106470088000 in words is "one hundred six billion, four hundred seventy million, eighty-eight thousand".