109729620 has 576 divisors, whose sum is σ = 482630400. Its totient is φ = 20321280.

The previous prime is 109729597. The next prime is 109729639. The reversal of 109729620 is 26927901.

109729620 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 29 + 620 = 666.

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

It is a nialpdrome in base 15.

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 191 ways as a sum of consecutive naturals, for example, 3783766 + ... + 3783794.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 2^109729620 is an apocalyptic number.

109729620 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 109729620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

109729620 is an abundant number, since it is smaller than the sum of its proper divisors (372900780).

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

109729620 is a wasteful number, since it uses less digits than its factorization.

109729620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109729620 is about 10475.1906903884. The cubic root of 109729620 is about 478.7490866146.

The spelling of 109729620 in words is "one hundred nine million, seven hundred twenty-nine thousand, six hundred twenty".