101667320352 has 144 divisors (see below), whose sum is σ = 311633359128. Its totient is φ = 31254405120.

The previous prime is 101667320351. The next prime is 101667320357. The reversal of 101667320352 is 253023766101.

It can be written as a sum of positive squares in 4 ways, for example, as 98824724496 + 2842595856 = 314364^2 + 53316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101667320351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4410168 + ... + 4433160.

Almost surely, 2^101667320352 is an apocalyptic number.

101667320352 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 101667320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155816679564).

101667320352 is an abundant number, since it is smaller than the sum of its proper divisors (209966038776).

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

101667320352 is a wasteful number, since it uses less digits than its factorization.

101667320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24203 (or 24192 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 101667320352 in words is "one hundred one billion, six hundred sixty-seven million, three hundred twenty thousand, three hundred fifty-two".