106666560000 has 2400 divisors, whose sum is σ = 530460298368. Its totient is φ = 19906560000.

The previous prime is 106666559999. The next prime is 106666560031. The reversal of 106666560000 is 65666601.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×106666560000² (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 239 ways as a sum of consecutive naturals, for example, 2882879982 + ... + 2882880018.

Almost surely, 2^106666560000 is an apocalyptic number.

106666560000 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 106666560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265230149184).

106666560000 is an abundant number, since it is smaller than the sum of its proper divisors (423793738368).

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

106666560000 is a wasteful number, since it uses less digits than its factorization.

106666560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 106666 and 560000, that added together give a palindrome (666666).

The spelling of 106666560000 in words is "one hundred six billion, six hundred sixty-six million, five hundred sixty thousand".