106318453248 has 480 divisors, whose sum is σ = 361179561600. Its totient is φ = 30093557760.

The previous prime is 106318453231. The next prime is 106318453259. The reversal of 106318453248 is 842354813601.

106318453248 is a `hidden beast` number, since 1 + 0 + 6 + 31 + 84 + 532 + 4 + 8 = 666.

It is a super-2 number, since 2×106318453248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216534283 + ... + 216534773.

It is an arithmetic number, because the mean of its divisors is an integer number (752457420).

Almost surely, 2^106318453248 is an apocalyptic number.

106318453248 is a gapful number since it is divisible by the number (18) 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 106318453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180589780800).

106318453248 is an abundant number, since it is smaller than the sum of its proper divisors (254861108352).

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

106318453248 is an equidigital number, since it uses as much as digits as its factorization.

106318453248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 106318453248 in words is "one hundred six billion, three hundred eighteen million, four hundred fifty-three thousand, two hundred forty-eight".