101133552 has 160 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 29399040.

The previous prime is 101133521. The next prime is 101133559. The reversal of 101133552 is 255331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509423 + ... + 1509489.

It is an arithmetic number, because the mean of its divisors is an integer number (1859256).

Almost surely, 2^101133552 is an apocalyptic number.

101133552 is a gapful number since it is divisible by the number (12) 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 101133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

101133552 is an abundant number, since it is smaller than the sum of its proper divisors (196347408).

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

101133552 is a wasteful number, since it uses less digits than its factorization.

101133552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 101133552 is about 10056.5178864257. The cubic root of 101133552 is about 465.9061253677.

Adding to 101133552 its reverse (255331101), we get a palindrome (356464653).

The spelling of 101133552 in words is "one hundred one million, one hundred thirty-three thousand, five hundred fifty-two".