101809456 has 120 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 40924800.

The previous prime is 101809441. The next prime is 101809457. The reversal of 101809456 is 654908101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101809457) 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, 1433901 + ... + 1433971.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^101809456 is an apocalyptic number.

101809456 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 101809456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

101809456 is an abundant number, since it is smaller than the sum of its proper divisors (142460624).

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

101809456 is a wasteful number, since it uses less digits than its factorization.

101809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 101809456 is about 10090.0671950191. The cubic root of 101809456 is about 466.9417489287.

The spelling of 101809456 in words is "one hundred one million, eight hundred nine thousand, four hundred fifty-six".