106150101565648 has 80 divisors (see below), whose sum is σ = 235308026536704. Its totient is φ = 45442337771520.

The previous prime is 106150101565631. The next prime is 106150101565649. The reversal of 106150101565648 is 846565101051601.

It is a super-3 number, since 3×106150101565648³ (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 not an unprimeable number, because it can be changed into a prime (106150101565649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406666858 + ... + 406927798.

Almost surely, 2^{106150101565648} is an apocalyptic number.

It is an amenable number.

106150101565648 is an abundant number, since it is smaller than the sum of its proper divisors (129157924971056).

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

106150101565648 is a wasteful number, since it uses less digits than its factorization.

106150101565648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264980 (or 264974 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 49.

The spelling of 106150101565648 in words is "one hundred six trillion, one hundred fifty billion, one hundred one million, five hundred sixty-five thousand, six hundred forty-eight".