105628817472 has 28 divisors (see below), whose sum is σ = 279476246736. Its totient is φ = 35209605760.

The previous prime is 105628817453. The next prime is 105628817573. The reversal of 105628817472 is 274718826501.

It is a happy number.

It is a super-2 number, since 2×105628817472² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275074854 + ... + 275075237.

Almost surely, 2^105628817472 is an apocalyptic number.

105628817472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105628817472 is an abundant number, since it is smaller than the sum of its proper divisors (173847429264).

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

105628817472 is an equidigital number, since it uses as much as digits as its factorization.

105628817472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550150106 (or 550150096 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 105628817472 in words is "one hundred five billion, six hundred twenty-eight million, eight hundred seventeen thousand, four hundred seventy-two".