106675477680 has 160 divisors (see below), whose sum is σ = 333071182080. Its totient is φ = 28242846720.

The previous prime is 106675477639. The next prime is 106675477691. The reversal of 106675477680 is 86774576601.

It is a super-2 number, since 2×106675477680² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106675477680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32100499 + ... + 32103821.

It is an arithmetic number, because the mean of its divisors is an integer number (2081694888).

Almost surely, 2^106675477680 is an apocalyptic number.

106675477680 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 106675477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166535591040).

106675477680 is an abundant number, since it is smaller than the sum of its proper divisors (226395704400).

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

106675477680 is a wasteful number, since it uses less digits than its factorization.

106675477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 106675477680 in words is "one hundred six billion, six hundred seventy-five million, four hundred seventy-seven thousand, six hundred eighty".