105322553600 has 108 divisors (see below), whose sum is σ = 284389037520. Its totient is φ = 38299084800.

The previous prime is 105322553569. The next prime is 105322553621. The reversal of 105322553600 is 6355223501.

105322553600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105322553600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677630 + ... + 818429.

Almost surely, 2^105322553600 is an apocalyptic number.

105322553600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105322553600 is an abundant number, since it is smaller than the sum of its proper divisors (179066483920).

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

105322553600 is a wasteful number, since it uses less digits than its factorization.

105322553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496096 (or 1496077 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 105322553600 in words is "one hundred five billion, three hundred twenty-two million, five hundred fifty-three thousand, six hundred".