105229329660 has 288 divisors, whose sum is σ = 410125907520. Its totient is φ = 22202159616.

The previous prime is 105229329641. The next prime is 105229329671. The reversal of 105229329660 is 66923922501.

105229329660 is a `hidden beast` number, since 1 + 0 + 522 + 9 + 32 + 96 + 6 + 0 = 666.

It is a super-2 number, since 2×105229329660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191022 + ... + 496938.

It is an arithmetic number, because the mean of its divisors is an integer number (1424048290).

Almost surely, 2^105229329660 is an apocalyptic number.

105229329660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105229329660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205062953760).

105229329660 is an abundant number, since it is smaller than the sum of its proper divisors (304896577860).

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

105229329660 is a wasteful number, since it uses less digits than its factorization.

105229329660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305962 (or 305947 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 105229329660 in words is "one hundred five billion, two hundred twenty-nine million, three hundred twenty-nine thousand, six hundred sixty".