106774770720 has 48 divisors (see below), whose sum is σ = 336340529280. Its totient is φ = 28473272064.

The previous prime is 106774770703. The next prime is 106774770769. The reversal of 106774770720 is 27077477601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106774770720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106774770720.

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, 111223240 + ... + 111224199.

It is an arithmetic number, because the mean of its divisors is an integer number (7007094360).

Almost surely, 2^106774770720 is an apocalyptic number.

106774770720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106774770720 is an abundant number, since it is smaller than the sum of its proper divisors (229565758560).

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

106774770720 is a wasteful number, since it uses less digits than its factorization.

106774770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222447457 (or 222447449 counting only the distinct ones).

The product of its (nonzero) digits is 806736, while the sum is 48.

The spelling of 106774770720 in words is "one hundred six billion, seven hundred seventy-four million, seven hundred seventy thousand, seven hundred twenty".