109140420816 has 320 divisors, whose sum is σ = 372882800640. Its totient is φ = 29907118080.

The previous prime is 109140420799. The next prime is 109140420817. The reversal of 109140420816 is 618024041901.

109140420816 is a `hidden beast` number, since 10 + 9 + 140 + 420 + 81 + 6 = 666.

It is a super-2 number, since 2×109140420816² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109140420817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10587921 + ... + 10598223.

It is an arithmetic number, because the mean of its divisors is an integer number (1165258752).

Almost surely, 2^109140420816 is an apocalyptic number.

109140420816 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 109140420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186441400320).

109140420816 is an abundant number, since it is smaller than the sum of its proper divisors (263742379824).

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

109140420816 is a wasteful number, since it uses less digits than its factorization.

109140420816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 109140420816 in words is "one hundred nine billion, one hundred forty million, four hundred twenty thousand, eight hundred sixteen".