105290228160 has 896 divisors, whose sum is σ = 413174200320. Its totient is φ = 25395793920.

The previous prime is 105290227967. The next prime is 105290228171. The reversal of 105290228160 is 61822092501.

It is a super-2 number, since 2×105290228160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 645952239 + ... + 645952401.

It is an arithmetic number, because the mean of its divisors is an integer number (461131920).

Almost surely, 2^105290228160 is an apocalyptic number.

105290228160 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 105290228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206587100160).

105290228160 is an abundant number, since it is smaller than the sum of its proper divisors (307883972160).

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

105290228160 is an equidigital number, since it uses as much as digits as its factorization.

105290228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 105290228160 in words is "one hundred five billion, two hundred ninety million, two hundred twenty-eight thousand, one hundred sixty".