105357547000 has 64 divisors (see below), whose sum is σ = 248798721600. Its totient is φ = 41756342400.

The previous prime is 105357546991. The next prime is 105357547013. The reversal of 105357547000 is 745753501.

It is a super-2 number, since 2×105357547000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 374292 + ... + 592291.

It is an arithmetic number, because the mean of its divisors is an integer number (3887480025).

Almost surely, 2^105357547000 is an apocalyptic number.

105357547000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105357547000 is an abundant number, since it is smaller than the sum of its proper divisors (143441174600).

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

105357547000 is a wasteful number, since it uses less digits than its factorization.

105357547000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966713 (or 966699 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 37.

The spelling of 105357547000 in words is "one hundred five billion, three hundred fifty-seven million, five hundred forty-seven thousand".