105630791040 has 320 divisors, whose sum is σ = 378047308320. Its totient is φ = 28106956800.

The previous prime is 105630791009. The next prime is 105630791041. The reversal of 105630791040 is 40197036501.

105630791040 is a `hidden beast` number, since 1 + 0 + 5 + 630 + 7 + 9 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105630791040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105630790986 and 105630791004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105630791041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27006685 + ... + 27010595.

Almost surely, 2^105630791040 is an apocalyptic number.

105630791040 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 105630791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189023654160).

105630791040 is an abundant number, since it is smaller than the sum of its proper divisors (272416517280).

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

105630791040 is an equidigital number, since it uses as much as digits as its factorization.

105630791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 105630791040 in words is "one hundred five billion, six hundred thirty million, seven hundred ninety-one thousand, forty".