10106137240 has 96 divisors (see below), whose sum is σ = 24058961280. Its totient is φ = 3820068864.

The previous prime is 10106137219. The next prime is 10106137243. The reversal of 10106137240 is 4273160101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106137243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8764504 + ... + 8765656.

It is an arithmetic number, because the mean of its divisors is an integer number (250614180).

Almost surely, 2^10106137240 is an apocalyptic number.

10106137240 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 10106137240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029480640).

10106137240 is an abundant number, since it is smaller than the sum of its proper divisors (13952824040).

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

10106137240 is a wasteful number, since it uses less digits than its factorization.

10106137240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10106137240 its reverse (4273160101), we get a palindrome (14379297341).

The spelling of 10106137240 in words is "ten billion, one hundred six million, one hundred thirty-seven thousand, two hundred forty".