106066567760 has 40 divisors (see below), whose sum is σ = 246676748136. Its totient is φ = 42414243840.

The previous prime is 106066567757. The next prime is 106066567813. The reversal of 106066567760 is 67765660601.

It can be written as a sum of positive squares in 4 ways, for example, as 8027443216 + 98039124544 = 89596^2 + 313112^2 .

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

It is a super-2 number, since 2×106066567760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106066567699 and 106066567708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84800 + ... + 468320.

Almost surely, 2^106066567760 is an apocalyptic number.

106066567760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106066567760 is an abundant number, since it is smaller than the sum of its proper divisors (140610180376).

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

106066567760 is a wasteful number, since it uses less digits than its factorization.

106066567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386991 (or 386985 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 106066567760 in words is "one hundred six billion, sixty-six million, five hundred sixty-seven thousand, seven hundred sixty".