106940427551664 has 480 divisors, whose sum is σ = 359416031901696. Its totient is φ = 27182231838720.

The previous prime is 106940427551569. The next prime is 106940427551687. The reversal of 106940427551664 is 466155724049601.

It is a super-2 number, since 2×106940427551664² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106940427551598 and 106940427551607.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52295454 + ... + 54301890.

Almost surely, 2^{106940427551664} is an apocalyptic number.

106940427551664 is a gapful number since it is divisible by the number (14) 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 106940427551664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179708015950848).

106940427551664 is an abundant number, since it is smaller than the sum of its proper divisors (252475604350032).

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

106940427551664 is a wasteful number, since it uses less digits than its factorization.

106940427551664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006553 (or 2006540 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 106940427551664 in words is "one hundred six trillion, nine hundred forty billion, four hundred twenty-seven million, five hundred fifty-one thousand, six hundred sixty-four".