109017382190976 has 1792 divisors, whose sum is σ = 394049532395520. Its totient is φ = 29376483840000.

The previous prime is 109017382190957. The next prime is 109017382191059. The reversal of 109017382190976 is 679091283710901.

109017382190976 is a `hidden beast` number, since 1 + 0 + 90 + 17 + 382 + 1 + 90 + 9 + 76 = 666.

It is a super-2 number, since 2×109017382190976² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 145162958601 + ... + 145162959351.

Almost surely, 2^{109017382190976} is an apocalyptic number.

109017382190976 is a gapful number since it is divisible by the number (16) 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 109017382190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197024766197760).

109017382190976 is an abundant number, since it is smaller than the sum of its proper divisors (285032150204544).

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

109017382190976 is an equidigital number, since it uses as much as digits as its factorization.

109017382190976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 109017382190976 in words is "one hundred nine trillion, seventeen billion, three hundred eighty-two million, one hundred ninety thousand, nine hundred seventy-six".