105952754240 has 56 divisors (see below), whose sum is σ = 257668117632. Its totient is φ = 41479370240.

The previous prime is 105952754233. The next prime is 105952754321. The reversal of 105952754240 is 42457259501.

It is a super-2 number, since 2×105952754240² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105952754191 and 105952754200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507326 + ... + 3537405.

Almost surely, 2^105952754240 is an apocalyptic number.

105952754240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105952754240 is an abundant number, since it is smaller than the sum of its proper divisors (151715363392).

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

105952754240 is an equidigital number, since it uses as much as digits as its factorization.

105952754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044795 (or 7044785 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 105952754240 in words is "one hundred five billion, nine hundred fifty-two million, seven hundred fifty-four thousand, two hundred forty".