101609872 has 80 divisors (see below), whose sum is σ = 255122560. Its totient is φ = 38071296.

The previous prime is 101609869. The next prime is 101609917. The reversal of 101609872 is 278906101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25828 + ... + 29500.

It is an arithmetic number, because the mean of its divisors is an integer number (3189032).

Almost surely, 2^101609872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101609872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127561280).

101609872 is an abundant number, since it is smaller than the sum of its proper divisors (153512688).

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

101609872 is a wasteful number, since it uses less digits than its factorization.

101609872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 101609872 is about 10080.1722207510. The cubic root of 101609872 is about 466.6364234369.

The spelling of 101609872 in words is "one hundred one million, six hundred nine thousand, eight hundred seventy-two".