10105452630 has 384 divisors, whose sum is σ = 34514678016. Its totient is φ = 1990656000.

The previous prime is 10105452629. The next prime is 10105452653. The reversal of 10105452630 is 3625450101.

10105452630 is a `hidden beast` number, since 1 + 0 + 105 + 4 + 526 + 30 = 666.

10105452630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10105452594 and 10105452603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25200430 + ... + 25200830.

It is an arithmetic number, because the mean of its divisors is an integer number (89881974).

Almost surely, 2^10105452630 is an apocalyptic number.

10105452630 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 10105452630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257339008).

10105452630 is an abundant number, since it is smaller than the sum of its proper divisors (24409225386).

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

10105452630 is a wasteful number, since it uses less digits than its factorization.

10105452630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10105452630 in words is "ten billion, one hundred five million, four hundred fifty-two thousand, six hundred thirty".