101340096 has 112 divisors (see below), whose sum is σ = 315090048. Its totient is φ = 28339200.

The previous prime is 101340079. The next prime is 101340097. The reversal of 101340096 is 690043101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101340097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25611 + ... + 29301.

It is an arithmetic number, because the mean of its divisors is an integer number (2813304).

Almost surely, 2^101340096 is an apocalyptic number.

101340096 is a gapful number since it is divisible by the number (16) 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 101340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157545024).

101340096 is an abundant number, since it is smaller than the sum of its proper divisors (213749952).

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

101340096 is a wasteful number, since it uses less digits than its factorization.

101340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101340096 is about 10066.7818094960. The cubic root of 101340096 is about 466.2230814360.

Adding to 101340096 its reverse (690043101), we get a palindrome (791383197).

The spelling of 101340096 in words is "one hundred one million, three hundred forty thousand, ninety-six".