101024 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 38400.

The previous prime is 101021. The next prime is 101027. The reversal of 101024 is 420101.

It is an interprime number because it is at equal distance from previous prime (101021) and next prime (101027).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101021) 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, 2444 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2¹⁰¹⁰²⁴ is an apocalyptic number.

101024 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 101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

101024 is an abundant number, since it is smaller than the sum of its proper divisors (152992).

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

101024 is a wasteful number, since it uses less digits than its factorization.

101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 101024 is about 317.8427284051. The cubic root of 101024 is about 46.5737835063.

Adding to 101024 its reverse (420101), we get a palindrome (521125).

The spelling of 101024 in words is "one hundred one thousand, twenty-four", and thus it is an iban number.