101133852 has 48 divisors (see below), whose sum is σ = 250317312. Its totient is φ = 31711680.

The previous prime is 101133841. The next prime is 101133853. The reversal of 101133852 is 258331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13833 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (5214944).

Almost surely, 2^101133852 is an apocalyptic number.

101133852 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 101133852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125158656).

101133852 is an abundant number, since it is smaller than the sum of its proper divisors (149183460).

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

101133852 is a wasteful number, since it uses less digits than its factorization.

101133852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101133852 is about 10056.5328021143. The cubic root of 101133852 is about 465.9065860512.

Adding to 101133852 its reverse (258331101), we get a palindrome (359464953).

The spelling of 101133852 in words is "one hundred one million, one hundred thirty-three thousand, eight hundred fifty-two".