106693805448 has 64 divisors (see below), whose sum is σ = 296400772800. Its totient is φ = 35561111040.

The previous prime is 106693805447. The next prime is 106693805459. The reversal of 106693805448 is 844508396601.

106693805448 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 93 + 8 + 0 + 544 + 8 = 666.

It is a super-2 number, since 2×106693805448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106693805394 and 106693805403.

It is not an unprimeable number, because it can be changed into a prime (106693805447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3128215 + ... + 3162137.

It is an arithmetic number, because the mean of its divisors is an integer number (4631262075).

Almost surely, 2^106693805448 is an apocalyptic number.

106693805448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106693805448 is an abundant number, since it is smaller than the sum of its proper divisors (189706967352).

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

106693805448 is a wasteful number, since it uses less digits than its factorization.

106693805448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48499 (or 48489 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 106693805448 in words is "one hundred six billion, six hundred ninety-three million, eight hundred five thousand, four hundred forty-eight".