107055006661212 has 192 divisors, whose sum is σ = 263185563648000. Its totient is φ = 33827130005760.

The previous prime is 107055006661201. The next prime is 107055006661241. The reversal of 107055006661212 is 212166600550701.

It is a super-3 number, since 3×107055006661212³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6662199114 + ... + 6662215182.

It is an arithmetic number, because the mean of its divisors is an integer number (1370758144000).

Almost surely, 2^{107055006661212} is an apocalyptic number.

107055006661212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107055006661212 is an abundant number, since it is smaller than the sum of its proper divisors (156130556986788).

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

107055006661212 is a wasteful number, since it uses less digits than its factorization.

107055006661212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18016 (or 18014 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 107055006661212 in words is "one hundred seven trillion, fifty-five billion, six million, six hundred sixty-one thousand, two hundred twelve".