105376705980 has 864 divisors, whose sum is σ = 404701678080. Its totient is φ = 20248704000.

The previous prime is 105376705943. The next prime is 105376705981. The reversal of 105376705980 is 89507673501.

It is a super-2 number, since 2×105376705980² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105376705981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 697858905 + ... + 697859055.

It is an arithmetic number, because the mean of its divisors is an integer number (468404720).

Almost surely, 2^105376705980 is an apocalyptic number.

105376705980 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 105376705980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202350839040).

105376705980 is an abundant number, since it is smaller than the sum of its proper divisors (299324972100).

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

105376705980 is a wasteful number, since it uses less digits than its factorization.

105376705980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 105376705980 in words is "one hundred five billion, three hundred seventy-six million, seven hundred five thousand, nine hundred eighty".