105662850816 has 72 divisors (see below), whose sum is σ = 293444161920. Its totient is φ = 33689598976.

The previous prime is 105662850779. The next prime is 105662850851. The reversal of 105662850816 is 618058266501.

105662850816 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105662850816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2973246 + ... + 3008573.

It is an arithmetic number, because the mean of its divisors is an integer number (4075613360).

Almost surely, 2^105662850816 is an apocalyptic number.

105662850816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105662850816 is an abundant number, since it is smaller than the sum of its proper divisors (187781311104).

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

105662850816 is an equidigital number, since it uses as much as digits as its factorization.

105662850816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981861 (or 5981847 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 105662850816 in words is "one hundred five billion, six hundred sixty-two million, eight hundred fifty thousand, eight hundred sixteen".