10361540 has 72 divisors (see below), whose sum is σ = 25807320. Its totient is φ = 3483648.

The previous prime is 10361537. The next prime is 10361543. The reversal of 10361540 is 4516301.

10361540 = T₂₂₅ + T₂₂₆ + ... + T₄₁₈.

It is an interprime number because it is at equal distance from previous prime (10361537) and next prime (10361543).

It can be written as a sum of positive squares in 4 ways, for example, as 1552516 + 8809024 = 1246^2 + 2968^2 .

It is a super-3 number, since 3×10361540³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10361543) 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 23 ways as a sum of consecutive naturals, for example, 95006 + ... + 95114.

It is an arithmetic number, because the mean of its divisors is an integer number (358435).

Almost surely, 2^10361540 is an apocalyptic number.

10361540 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 10361540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903660).

10361540 is an abundant number, since it is smaller than the sum of its proper divisors (15445780).

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

10361540 is a wasteful number, since it uses less digits than its factorization.

10361540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10361540 is about 3218.9346063566. The cubic root of 10361540 is about 218.0091739259.

Adding to 10361540 its reverse (4516301), we get a palindrome (14877841).

It can be divided in two parts, 10361 and 540, that added together give a palindrome (10901).

The spelling of 10361540 in words is "ten million, three hundred sixty-one thousand, five hundred forty".