109953536 has 80 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 42823680.

The previous prime is 109953533. The next prime is 109953563. The reversal of 109953536 is 635359901.

It is a junction number, because it is equal to n+sod(n) for n = 109953493 and 109953502.

It is not an unprimeable number, because it can be changed into a prime (109953533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38030 + ... + 40818.

It is an arithmetic number, because the mean of its divisors is an integer number (3425004).

Almost surely, 2^109953536 is an apocalyptic number.

109953536 is a gapful number since it is divisible by the number (16) 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 109953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

109953536 is an abundant number, since it is smaller than the sum of its proper divisors (164046784).

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

109953536 is an equidigital number, since it uses as much as digits as its factorization.

109953536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 41.

The square root of 109953536 is about 10485.8731634519. The cubic root of 109953536 is about 479.0745130136.

The spelling of 109953536 in words is "one hundred nine million, nine hundred fifty-three thousand, five hundred thirty-six".