101005440 has 128 divisors (see below), whose sum is σ = 332536320. Its totient is φ = 26050560.

The previous prime is 101005433. The next prime is 101005493. The reversal of 101005440 is 44500101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58672 + ... + 60368.

It is an arithmetic number, because the mean of its divisors is an integer number (2597940).

Almost surely, 2^101005440 is an apocalyptic number.

101005440 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 101005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166268160).

101005440 is an abundant number, since it is smaller than the sum of its proper divisors (231530880).

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

101005440 is a wasteful number, since it uses less digits than its factorization.

101005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 101005440 is about 10050.1462675923. The cubic root of 101005440 is about 465.7093117299.

Adding to 101005440 its reverse (44500101), we get a palindrome (145505541).

The spelling of 101005440 in words is "one hundred one million, five thousand, four hundred forty".