105061006320 has 320 divisors, whose sum is σ = 358303924224. Its totient is φ = 25379988480.

The previous prime is 105061006249. The next prime is 105061006321. The reversal of 105061006320 is 23600160501.

It is a super-2 number, since 2×105061006320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061006321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8036109 + ... + 8049171.

Almost surely, 2^105061006320 is an apocalyptic number.

105061006320 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 105061006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179151962112).

105061006320 is an abundant number, since it is smaller than the sum of its proper divisors (253242917904).

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

105061006320 is a wasteful number, since it uses less digits than its factorization.

105061006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180 (or 13174 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105061006320 its reverse (23600160501), we get a palindrome (128661166821).

The spelling of 105061006320 in words is "one hundred five billion, sixty-one million, six thousand, three hundred twenty".