105550666605030 has 256 divisors, whose sum is σ = 279214884864000. Its totient is φ = 25417586456064.

The previous prime is 105550666604993. The next prime is 105550666605067. The reversal of 105550666605030 is 30506666055501.

It is an interprime number because it is at equal distance from previous prime (105550666604993) and next prime (105550666605067).

It is a super-2 number, since 2×105550666605030² (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 127 ways as a sum of consecutive naturals, for example, 4557640591 + ... + 4557663749.

It is an arithmetic number, because the mean of its divisors is an integer number (1090683144000).

Almost surely, 2^{105550666605030} is an apocalyptic number.

105550666605030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105550666605030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139607442432000).

105550666605030 is an abundant number, since it is smaller than the sum of its proper divisors (173664218258970).

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

105550666605030 is a wasteful number, since it uses less digits than its factorization.

105550666605030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24403.

The product of its (nonzero) digits is 2430000, while the sum is 48.

The spelling of 105550666605030 in words is "one hundred five trillion, five hundred fifty billion, six hundred sixty-six million, six hundred five thousand, thirty".