101344000 has 72 divisors (see below), whose sum is σ = 252540288. Its totient is φ = 40524800.

The previous prime is 101343959. The next prime is 101344013. The reversal of 101344000 is 443101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30417 + ... + 33583.

It is an arithmetic number, because the mean of its divisors is an integer number (3507504).

Almost surely, 2^101344000 is an apocalyptic number.

101344000 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 101344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270144).

101344000 is an abundant number, since it is smaller than the sum of its proper divisors (151196288).

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

101344000 is an frugal number, since it uses more digits than its factorization.

101344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 101344000 is about 10066.9757126954. The cubic root of 101344000 is about 466.2290682455.

Adding to 101344000 its reverse (443101), we get a palindrome (101787101).

The spelling of 101344000 in words is "one hundred one million, three hundred forty-four thousand".