100022160159504 has 320 divisors, whose sum is σ = 315898665120000. Its totient is φ = 30049514127360.

The previous prime is 100022160159503. The next prime is 100022160159583. The reversal of 100022160159504 is 405951061220001.

100022160159504 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 2 + 1 + 60 + 1 + 595 + 0 + 4 = 666.

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 (100022160159503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334833442 + ... + 335132030.

It is an arithmetic number, because the mean of its divisors is an integer number (987183328500).

Almost surely, 2^{100022160159504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022160159504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157949332560000).

100022160159504 is an abundant number, since it is smaller than the sum of its proper divisors (215876504960496).

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

100022160159504 is a wasteful number, since it uses less digits than its factorization.

100022160159504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299223 (or 299211 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 100022160159504 in words is "one hundred trillion, twenty-two billion, one hundred sixty million, one hundred fifty-nine thousand, five hundred four".