109901000 has 128 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 39168000.

The previous prime is 109900979. The next prime is 109901003. The reversal of 109901000 is 109901.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (109901003) 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 31 ways as a sum of consecutive naturals, for example, 1066949 + ... + 1067051.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^109901000 is an apocalyptic number.

109901000 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 109901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

109901000 is an abundant number, since it is smaller than the sum of its proper divisors (176290360).

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

109901000 is a wasteful number, since it uses less digits than its factorization.

109901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 109901000 is about 10483.3677794877. The cubic root of 109901000 is about 478.9981999662.

109901000 divided by its reverse (109901) gives a cube (1000 = 10³).

It can be divided in two parts, 109 and 901000, that added together give a palindrome (901109).

The spelling of 109901000 in words is "one hundred nine million, nine hundred one thousand".