101041024 has 64 divisors (see below), whose sum is σ = 240099840. Its totient is φ = 41412096.

The previous prime is 101040977. The next prime is 101041027. The reversal of 101041024 is 420140101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101040995 and 101041013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041027) 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, 18157 + ... + 23059.

It is an arithmetic number, because the mean of its divisors is an integer number (3751560).

Almost surely, 2^101041024 is an apocalyptic number.

101041024 is a gapful number since it is divisible by the number (14) 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 101041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120049920).

101041024 is an abundant number, since it is smaller than the sum of its proper divisors (139058816).

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

101041024 is an equidigital number, since it uses as much as digits as its factorization.

101041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101041024 is about 10051.9164341930. The cubic root of 101041024 is about 465.7639947729.

Adding to 101041024 its reverse (420140101), we get a palindrome (521181125).

The spelling of 101041024 in words is "one hundred one million, forty-one thousand, twenty-four".