106150010000664 has 64 divisors (see below), whose sum is σ = 303301890109440. Its totient is φ = 30326959560960.

The previous prime is 106150010000653. The next prime is 106150010000711. The reversal of 106150010000664 is 466000010051601.

It is a super-2 number, since 2×106150010000664² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13653432 + ... + 19967879.

It is an arithmetic number, because the mean of its divisors is an integer number (4739092032960).

Almost surely, 2^{106150010000664} is an apocalyptic number.

106150010000664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106150010000664 is an abundant number, since it is smaller than the sum of its proper divisors (197151880108776).

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

106150010000664 is a wasteful number, since it uses less digits than its factorization.

106150010000664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33640120 (or 33640116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 106150010000664 in words is "one hundred six trillion, one hundred fifty billion, ten million, six hundred sixty-four", and thus it is an aban number.