105226231680 has 768 divisors, whose sum is σ = 400982400000. Its totient is φ = 26294575104.

The previous prime is 105226231679. The next prime is 105226231709. The reversal of 105226231680 is 86132622501.

105226231680 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 262 + 316 + 80 = 666.

It is a super-2 number, since 2×105226231680² (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 95 ways as a sum of consecutive naturals, for example, 440277001 + ... + 440277239.

It is an arithmetic number, because the mean of its divisors is an integer number (522112500).

Almost surely, 2^105226231680 is an apocalyptic number.

105226231680 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 105226231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200000).

105226231680 is an abundant number, since it is smaller than the sum of its proper divisors (295756168320).

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

105226231680 is a wasteful number, since it uses less digits than its factorization.

105226231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105226231680 in words is "one hundred five billion, two hundred twenty-six million, two hundred thirty-one thousand, six hundred eighty".