105973827980 has 48 divisors (see below), whose sum is σ = 229830967296. Its totient is φ = 41003010240.

The previous prime is 105973827931. The next prime is 105973828003. The reversal of 105973827980 is 89728379501.

It is a super-2 number, since 2×105973827980² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329617 + ... + 1407063.

It is an arithmetic number, because the mean of its divisors is an integer number (4788145152).

Almost surely, 2^105973827980 is an apocalyptic number.

105973827980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105973827980 is an abundant number, since it is smaller than the sum of its proper divisors (123857139316).

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

105973827980 is a wasteful number, since it uses less digits than its factorization.

105973827980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79694 (or 79692 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 59.

The spelling of 105973827980 in words is "one hundred five billion, nine hundred seventy-three million, eight hundred twenty-seven thousand, nine hundred eighty".