101040 has 40 divisors (see below), whose sum is σ = 313968. Its totient is φ = 26880.

The previous prime is 101027. The next prime is 101051. The reversal of 101040 is 40101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 450.

2¹⁰¹⁰⁴⁰ is an apocalyptic number.

101040 is a gapful number since it is divisible by the number (10) 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 101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156984).

101040 is an abundant number, since it is smaller than the sum of its proper divisors (212928).

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

101040 is a wasteful number, since it uses less digits than its factorization.

101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 101040 is about 317.8678970893. The cubic root of 101040 is about 46.5762421340.

Adding to 101040 its reverse (40101), we get a palindrome (141141).

The spelling of 101040 in words is "one hundred one thousand, forty", and thus it is an iban number.