10106105130 has 432 divisors, whose sum is σ = 32040721440. Its totient is φ = 2286377280.

The previous prime is 10106105123. The next prime is 10106105131. The reversal of 10106105130 is 3150160101.

10106105130 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 610 + 51 + 3 + 0 = 666.

It is a super-2 number, since 2×10106105130² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10106105131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 150837357 + ... + 150837423.

Almost surely, 2^10106105130 is an apocalyptic number.

10106105130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106105130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020360720).

10106105130 is an abundant number, since it is smaller than the sum of its proper divisors (21934616310).

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

10106105130 is an equidigital number, since it uses as much as digits as its factorization.

10106105130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10106105130 its reverse (3150160101), we get a palindrome (13256265231).

The spelling of 10106105130 in words is "ten billion, one hundred six million, one hundred five thousand, one hundred thirty".