106101640374912 has 720 divisors, whose sum is σ = 397737163993950. Its totient is φ = 27982827565056.

The previous prime is 106101640374869. The next prime is 106101640374929. The reversal of 106101640374912 is 219473046101601.

106101640374912 is a `hidden beast` number, since 1 + 0 + 610 + 16 + 4 + 0 + 3 + 7 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 71275873790016 + 34825766584896 = 8442504^2 + 5901336^2 .

It is a super-3 number, since 3×106101640374912³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85239514 + ... + 86475302.

Almost surely, 2^{106101640374912} is an apocalyptic number.

106101640374912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106101640374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198868581996975).

106101640374912 is an abundant number, since it is smaller than the sum of its proper divisors (291635523619038).

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

106101640374912 is a wasteful number, since it uses less digits than its factorization.

106101640374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235855 (or 1235814 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106101640374912 in words is "one hundred six trillion, one hundred one billion, six hundred forty million, three hundred seventy-four thousand, nine hundred twelve".