101033072 has 40 divisors (see below), whose sum is σ = 225509376. Its totient is φ = 42952896.

The previous prime is 101033069. The next prime is 101033077. The reversal of 101033072 is 270330101.

It is a self number, because there is not a number n which added to its sum of digits gives 101033072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033077) 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, 10673 + ... + 17775.

Almost surely, 2^101033072 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 101033072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112754688).

101033072 is an abundant number, since it is smaller than the sum of its proper divisors (124476304).

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

101033072 is a wasteful number, since it uses less digits than its factorization.

101033072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 101033072 is about 10051.5208799465. The cubic root of 101033072 is about 465.7517758005.

Adding to 101033072 its reverse (270330101), we get a palindrome (371363173).

The spelling of 101033072 in words is "one hundred one million, thirty-three thousand, seventy-two".