105229754496 has 96 divisors (see below), whose sum is σ = 313251389100. Its totient is φ = 33867036672.

The previous prime is 105229754477. The next prime is 105229754519. The reversal of 105229754496 is 694457922501.

It is a happy number.

105229754496 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 9 + 7 + 544 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94947794496 + 10281960000 = 308136^2 + 101400^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105229754496² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1541511 + ... + 1608326.

Almost surely, 2^105229754496 is an apocalyptic number.

105229754496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105229754496 is an abundant number, since it is smaller than the sum of its proper divisors (208021634604).

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

105229754496 is a wasteful number, since it uses less digits than its factorization.

105229754496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149886 (or 3149871 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 105229754496 in words is "one hundred five billion, two hundred twenty-nine million, seven hundred fifty-four thousand, four hundred ninety-six".