105550665010016 has 48 divisors (see below), whose sum is σ = 223633563098400. Its totient is φ = 48856624097280.

The previous prime is 105550665010009. The next prime is 105550665010099. The reversal of 105550665010016 is 610010566055501.

It is a super-2 number, since 2×105550665010016² (a number of 29 digits) contains 22 as substring.

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, 1590351716 + ... + 1590418083.

It is an arithmetic number, because the mean of its divisors is an integer number (4659032564550).

Almost surely, 2^{105550665010016} is an apocalyptic number.

105550665010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105550665010016 is an abundant number, since it is smaller than the sum of its proper divisors (118082898088384).

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

105550665010016 is a wasteful number, since it uses less digits than its factorization.

105550665010016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180769887 (or 3180769879 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 105550665010016 in words is "one hundred five trillion, five hundred fifty billion, six hundred sixty-five million, ten thousand, sixteen".