106106053248 has 256 divisors, whose sum is σ = 357090249600. Its totient is φ = 30727323648.

The previous prime is 106106053237. The next prime is 106106053259. The reversal of 106106053248 is 842350601601.

It is a happy number.

106106053248 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 605 + 3 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (106106053237) and next prime (106106053259).

It is a super-2 number, since 2×106106053248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 694315 + ... + 833237.

Almost surely, 2^106106053248 is an apocalyptic number.

106106053248 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 106106053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178545124800).

106106053248 is an abundant number, since it is smaller than the sum of its proper divisors (250984196352).

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

106106053248 is a wasteful number, since it uses less digits than its factorization.

106106053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138976 (or 138958 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 106106053248 its reverse (842350601601), we get a palindrome (948456654849).

The spelling of 106106053248 in words is "one hundred six billion, one hundred six million, fifty-three thousand, two hundred forty-eight".