109220729040 has 120 divisors (see below), whose sum is σ = 367283454408. Its totient is φ = 29087109120.

The previous prime is 109220729011. The next prime is 109220729071. The reversal of 109220729040 is 40927022901.

109220729040 is a `hidden beast` number, since 109 + 220 + 7 + 290 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4726287504 + 104494441536 = 68748^2 + 323256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 109220728986 and 109220729004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448252 + ... + 647588.

Almost surely, 2^109220729040 is an apocalyptic number.

109220729040 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 109220729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183641727204).

109220729040 is an abundant number, since it is smaller than the sum of its proper divisors (258062725368).

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

109220729040 is a wasteful number, since it uses less digits than its factorization.

109220729040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200117 (or 200108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 109220729040 in words is "one hundred nine billion, two hundred twenty million, seven hundred twenty-nine thousand, forty".