106651444661664 has 192 divisors, whose sum is σ = 337742086752000. Its totient is φ = 29421087919104.

The previous prime is 106651444661647. The next prime is 106651444661677. The reversal of 106651444661664 is 466166444156601.

It is a super-2 number, since 2×106651444661664² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106651444661598 and 106651444661607.

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, 54888687 + ... + 56798510.

It is an arithmetic number, because the mean of its divisors is an integer number (1759073368500).

Almost surely, 2^{106651444661664} is an apocalyptic number.

106651444661664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106651444661664 is an abundant number, since it is smaller than the sum of its proper divisors (231090642090336).

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

106651444661664 is a wasteful number, since it uses less digits than its factorization.

106651444661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111687260 (or 111687238 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 106651444661664 in words is "one hundred six trillion, six hundred fifty-one billion, four hundred forty-four million, six hundred sixty-one thousand, six hundred sixty-four".