106000600001060 has 96 divisors (see below), whose sum is σ = 226443285421920. Its totient is φ = 41674186616832.

The previous prime is 106000600001027. The next prime is 106000600001077. The reversal of 106000600001060 is 60100006000601.

It can be written as a sum of positive squares in 16 ways, for example, as 20425482535936 + 85575117465124 = 4519456^2 + 9250682^2 .

It is a super-3 number, since 3×106000600001060³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962474614 + ... + 1962528626.

It is an arithmetic number, because the mean of its divisors is an integer number (2358784223145).

Almost surely, 2^{106000600001060} is an apocalyptic number.

106000600001060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106000600001060 is an abundant number, since it is smaller than the sum of its proper divisors (120442685420860).

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

106000600001060 is a wasteful number, since it uses less digits than its factorization.

106000600001060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60657 (or 60655 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 106000600001060 its reverse (60100006000601), we get a palindrome (166100606001661).

The spelling of 106000600001060 in words is "one hundred six trillion, six hundred million, one thousand, sixty".