109746672 has 120 divisors (see below), whose sum is σ = 341384400. Its totient is φ = 30256128.

The previous prime is 109746661. The next prime is 109746677. The reversal of 109746672 is 276647901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109746677) by changing a digit.

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, 67404 + ... + 69012.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2^109746672 is an apocalyptic number.

109746672 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 109746672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170692200).

109746672 is an abundant number, since it is smaller than the sum of its proper divisors (231637728).

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

109746672 is a wasteful number, since it uses less digits than its factorization.

109746672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 109746672 is about 10476.0045819005. The cubic root of 109746672 is about 478.7738845576.

The spelling of 109746672 in words is "one hundred nine million, seven hundred forty-six thousand, six hundred seventy-two".