101359440 has 540 divisors, whose sum is σ = 453998844. Its totient is φ = 20127744.

The previous prime is 101359417. The next prime is 101359441. The reversal of 101359440 is 44953101.

It can be written as a sum of positive squares in 6 ways, for example, as 9659664 + 91699776 = 3108^2 + 9576^2 .

It is a super-2 number, since 2×101359440² = 20547472154227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101359441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5962312 + ... + 5962328.

Almost surely, 2^101359440 is an apocalyptic number.

101359440 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 101359440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226999422).

101359440 is an abundant number, since it is smaller than the sum of its proper divisors (352639404).

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

101359440 is a wasteful number, since it uses less digits than its factorization.

101359440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101359440 is about 10067.7425473638. The cubic root of 101359440 is about 466.2527440799.

The spelling of 101359440 in words is "one hundred one million, three hundred fifty-nine thousand, four hundred forty".