105572282603008 has 80 divisors (see below), whose sum is σ = 230276239877376. Its totient is φ = 48058193756160.

The previous prime is 105572282602993. The next prime is 105572282603009. The reversal of 105572282603008 is 800306282275501.

It is a super-2 number, since 2×105572282603008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105572282603009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108152608 + ... + 109124383.

Almost surely, 2^{105572282603008} is an apocalyptic number.

It is an amenable number.

105572282603008 is an abundant number, since it is smaller than the sum of its proper divisors (124703957274368).

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

105572282603008 is an equidigital number, since it uses as much as digits as its factorization.

105572282603008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217277095 (or 217277079 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 105572282603008 in words is "one hundred five trillion, five hundred seventy-two billion, two hundred eighty-two million, six hundred three thousand, eight".