105244545120 has 192 divisors, whose sum is σ = 389478668544. Its totient is φ = 23551211520.

The previous prime is 105244545113. The next prime is 105244545143. The reversal of 105244545120 is 21545442501.

It is a happy number.

It is a super-2 number, since 2×105244545120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698002 + ... + 835281.

It is an arithmetic number, because the mean of its divisors is an integer number (2028534732).

Almost surely, 2^105244545120 is an apocalyptic number.

105244545120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105244545120 is an abundant number, since it is smaller than the sum of its proper divisors (284234123424).

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

105244545120 is a wasteful number, since it uses less digits than its factorization.

105244545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533325 (or 1533317 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 105244545120 its reverse (21545442501), we get a palindrome (126789987621).

The spelling of 105244545120 in words is "one hundred five billion, two hundred forty-four million, five hundred forty-five thousand, one hundred twenty".