106380979760 has 40 divisors (see below), whose sum is σ = 269820850896. Its totient is φ = 38683992320.

The previous prime is 106380979709. The next prime is 106380979777. The reversal of 106380979760 is 67979083601.

106380979760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106380979760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106380979696 and 106380979705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60442859 + ... + 60444618.

Almost surely, 2^106380979760 is an apocalyptic number.

106380979760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106380979760 is an abundant number, since it is smaller than the sum of its proper divisors (163439871136).

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

106380979760 is a wasteful number, since it uses less digits than its factorization.

106380979760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120887501 (or 120887495 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 56.

The spelling of 106380979760 in words is "one hundred six billion, three hundred eighty million, nine hundred seventy-nine thousand, seven hundred sixty".