101541852 has 72 divisors (see below), whose sum is σ = 275380560. Its totient is φ = 31449600.

The previous prime is 101541841. The next prime is 101541859. The reversal of 101541852 is 258145101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101541859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34852 + ... + 37652.

It is an arithmetic number, because the mean of its divisors is an integer number (3824730).

Almost surely, 2^101541852 is an apocalyptic number.

101541852 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 101541852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137690280).

101541852 is an abundant number, since it is smaller than the sum of its proper divisors (173838708).

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

101541852 is a wasteful number, since it uses less digits than its factorization.

101541852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 101541852 is about 10076.7977056206. The cubic root of 101541852 is about 466.5322744529.

Adding to 101541852 its reverse (258145101), we get a palindrome (359686953).

The spelling of 101541852 in words is "one hundred one million, five hundred forty-one thousand, eight hundred fifty-two".