101005344 has 72 divisors (see below), whose sum is σ = 313355952. Its totient is φ = 30606720.

The previous prime is 101005343. The next prime is 101005357. The reversal of 101005344 is 443500101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101005343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12774 + ... + 19109.

It is an arithmetic number, because the mean of its divisors is an integer number (4352166).

Almost surely, 2^101005344 is an apocalyptic number.

It is an amenable number.

101005344 is an abundant number, since it is smaller than the sum of its proper divisors (212350608).

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

101005344 is a wasteful number, since it uses less digits than its factorization.

101005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31910 (or 31899 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101005344 is about 10050.1414915413. The cubic root of 101005344 is about 465.7091641863.

Adding to 101005344 its reverse (443500101), we get a palindrome (544505445).

The spelling of 101005344 in words is "one hundred one million, five thousand, three hundred forty-four".