108904642560 has 480 divisors, whose sum is σ = 446135770080. Its totient is φ = 24891162624.

The previous prime is 108904642559. The next prime is 108904642579. The reversal of 108904642560 is 65246409801.

108904642560 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 46 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×108904642560² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5796702 + ... + 5815458.

It is an arithmetic number, because the mean of its divisors is an integer number (929449521).

Almost surely, 2^108904642560 is an apocalyptic number.

108904642560 is a gapful number since it is divisible by the number (10) 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 108904642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223067885040).

108904642560 is an abundant number, since it is smaller than the sum of its proper divisors (337231127520).

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

108904642560 is an equidigital number, since it uses as much as digits as its factorization.

108904642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 108904642560 in words is "one hundred eight billion, nine hundred four million, six hundred forty-two thousand, five hundred sixty".