109610307072 has 240 divisors, whose sum is σ = 361981757280. Its totient is φ = 31278514176.

The previous prime is 109610307007. The next prime is 109610307073. The reversal of 109610307072 is 270703016901.

It is a happy number.

109610307072 is a `hidden beast` number, since 1 + 0 + 9 + 610 + 30 + 7 + 0 + 7 + 2 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109610307073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35254254 + ... + 35257362.

It is an arithmetic number, because the mean of its divisors is an integer number (1508257322).

Almost surely, 2^109610307072 is an apocalyptic number.

109610307072 is a gapful number since it is divisible by the number (12) 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 109610307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180990878640).

109610307072 is an abundant number, since it is smaller than the sum of its proper divisors (252371450208).

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

109610307072 is a wasteful number, since it uses less digits than its factorization.

109610307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 109610307072 in words is "one hundred nine billion, six hundred ten million, three hundred seven thousand, seventy-two".