106748640288 has 72 divisors (see below), whose sum is σ = 314809670448. Its totient is φ = 35582877504.

The previous prime is 106748640283. The next prime is 106748640419. The reversal of 106748640288 is 882046847601.

106748640288 is a `hidden beast` number, since 10 + 6 + 74 + 86 + 402 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106748640288² (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 not an unprimeable number, because it can be changed into a prime (106748640281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6856206 + ... + 6871757.

It is an arithmetic number, because the mean of its divisors is an integer number (4372356534).

Almost surely, 2^106748640288 is an apocalyptic number.

106748640288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106748640288 is an abundant number, since it is smaller than the sum of its proper divisors (208061030160).

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

106748640288 is an equidigital number, since it uses as much as digits as its factorization.

106748640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727988 (or 13727968 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 106748640288 in words is "one hundred six billion, seven hundred forty-eight million, six hundred forty thousand, two hundred eighty-eight".