10105051320 has 320 divisors, whose sum is σ = 41803312320. Its totient is φ = 2131992576.

The previous prime is 10105051309. The next prime is 10105051331. The reversal of 10105051320 is 2315050101.

10105051320 is a `hidden beast` number, since 101 + 0 + 50 + 513 + 2 + 0 = 666.

10105051320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10105051309) and next prime (10105051331).

It is a super-2 number, since 2×10105051320² (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 a junction number, because it is equal to n+sod(n) for n = 10105051293 and 10105051302.

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 79 ways as a sum of consecutive naturals, for example, 277704 + ... + 311976.

It is an arithmetic number, because the mean of its divisors is an integer number (130635351).

Almost surely, 2^10105051320 is an apocalyptic number.

10105051320 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 10105051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901656160).

10105051320 is an abundant number, since it is smaller than the sum of its proper divisors (31698261000).

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

10105051320 is a wasteful number, since it uses less digits than its factorization.

10105051320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34316 (or 34303 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10105051320 in words is "ten billion, one hundred five million, fifty-one thousand, three hundred twenty".