105447731755100 has 72 divisors (see below), whose sum is σ = 276893338004640. Its totient is φ = 34026831083520.

The previous prime is 105447731755031. The next prime is 105447731755127. The reversal of 105447731755100 is 1557137744501.

It is a super-2 number, since 2×105447731755100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4430565065 + ... + 4430588864.

It is an arithmetic number, because the mean of its divisors is an integer number (3845740805620).

Almost surely, 2^{105447731755100} is an apocalyptic number.

105447731755100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105447731755100 is an abundant number, since it is smaller than the sum of its proper divisors (171445606249540).

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

105447731755100 is a wasteful number, since it uses less digits than its factorization.

105447731755100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861153967 (or 8861153960 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 50.

The spelling of 105447731755100 in words is "one hundred five trillion, four hundred forty-seven billion, seven hundred thirty-one million, seven hundred fifty-five thousand, one hundred".