101459072 has 128 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 40550400.

The previous prime is 101459047. The next prime is 101459087. The reversal of 101459072 is 270954101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101459072² = 20587886582202368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420872 + ... + 421112.

It is an arithmetic number, because the mean of its divisors is an integer number (1943865).

Almost surely, 2^101459072 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 101459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

101459072 is an abundant number, since it is smaller than the sum of its proper divisors (147355648).

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

101459072 is a wasteful number, since it uses less digits than its factorization.

101459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 101459072 is about 10072.6894124658. The cubic root of 101459072 is about 466.4054628960.

The spelling of 101459072 in words is "one hundred one million, four hundred fifty-nine thousand, seventy-two".