109085461204860 has 864 divisors, whose sum is σ = 418264580103552. Its totient is φ = 22858118922240.

The previous prime is 109085461204831. The next prime is 109085461204861. The reversal of 109085461204860 is 68402164580901.

109085461204860 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 546 + 12 + 0 + 4 + 86 + 0 = 666.

It is a super-2 number, since 2×109085461204860² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109085461204797 and 109085461204806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109085461204861) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 942015124 + ... + 942130916.

It is an arithmetic number, because the mean of its divisors is an integer number (484102523268).

Almost surely, 2^{109085461204860} is an apocalyptic number.

109085461204860 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 109085461204860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209132290051776).

109085461204860 is an abundant number, since it is smaller than the sum of its proper divisors (309179118898692).

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

109085461204860 is a wasteful number, since it uses less digits than its factorization.

109085461204860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116003 (or 115991 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 109085461204860 in words is "one hundred nine trillion, eighty-five billion, four hundred sixty-one million, two hundred four thousand, eight hundred sixty".