105040696320 has 792 divisors, whose sum is σ = 439321637664. Its totient is φ = 23995367424.

The previous prime is 105040696303. The next prime is 105040696337. The reversal of 105040696320 is 23696040501.

It is a happy number.

105040696320 is a `hidden beast` number, since 10 + 5 + 0 + 4 + 0 + 6 + 9 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105040696303) and next prime (105040696337).

It is a super-2 number, since 2×105040696320² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60962979 + ... + 60964701.

Almost surely, 2^105040696320 is an apocalyptic number.

105040696320 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 105040696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219660818832).

105040696320 is an abundant number, since it is smaller than the sum of its proper divisors (334280941344).

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

105040696320 is an equidigital number, since it uses as much as digits as its factorization.

105040696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 105040696320 in words is "one hundred five billion, forty million, six hundred ninety-six thousand, three hundred twenty".