105716759040 has 320 divisors, whose sum is σ = 384258441600. Its totient is φ = 27534753792.

The previous prime is 105716759039. The next prime is 105716759053. The reversal of 105716759040 is 40957617501.

105716759040 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 16 + 7 + 590 + 40 = 666.

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

It is a super-2 number, since 2×105716759040² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954376 + ... + 2989944.

It is an arithmetic number, because the mean of its divisors is an integer number (1200807630).

Almost surely, 2^105716759040 is an apocalyptic number.

105716759040 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 105716759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192129220800).

105716759040 is an abundant number, since it is smaller than the sum of its proper divisors (278541682560).

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

105716759040 is an equidigital number, since it uses as much as digits as its factorization.

105716759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35644 (or 35622 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 105716759040 in words is "one hundred five billion, seven hundred sixteen million, seven hundred fifty-nine thousand, forty".