101395360 has 96 divisors (see below), whose sum is σ = 266499072. Its totient is φ = 36142080.

The previous prime is 101395331. The next prime is 101395369. The reversal of 101395360 is 63593101.

It is not an unprimeable number, because it can be changed into a prime (101395369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92737 + ... + 93823.

It is an arithmetic number, because the mean of its divisors is an integer number (2776032).

Almost surely, 2^101395360 is an apocalyptic number.

101395360 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 101395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536).

101395360 is an abundant number, since it is smaller than the sum of its proper divisors (165103712).

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

101395360 is a wasteful number, since it uses less digits than its factorization.

101395360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 101395360 is about 10069.5263046481. The cubic root of 101395360 is about 466.3078148280.

The spelling of 101395360 in words is "one hundred one million, three hundred ninety-five thousand, three hundred sixty".