10106231040 has 216 divisors, whose sum is σ = 35821022328. Its totient is φ = 2629140480.

The previous prime is 10106231029. The next prime is 10106231063. The reversal of 10106231040 is 4013260101.

It is a happy number.

10106231040 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 623 + 1 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327290624 + 8778940416 = 36432^2 + 93696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461622 + ... + 483018.

Almost surely, 2^10106231040 is an apocalyptic number.

10106231040 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 10106231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910511164).

10106231040 is an abundant number, since it is smaller than the sum of its proper divisors (25714791288).

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

10106231040 is a wasteful number, since it uses less digits than its factorization.

10106231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21465 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10106231040 its reverse (4013260101), we get a palindrome (14119491141).

The spelling of 10106231040 in words is "ten billion, one hundred six million, two hundred thirty-one thousand, forty".