106516021248 has 896 divisors, whose sum is σ = 401126628000. Its totient is φ = 28092137472.

The previous prime is 106516021247. The next prime is 106516021259. The reversal of 106516021248 is 842120615601.

It is a happy number.

106516021248 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 602 + 1 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×106516021248² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106516021243) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8193540090 + ... + 8193540102.

Almost surely, 2^106516021248 is an apocalyptic number.

106516021248 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 106516021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200563314000).

106516021248 is an abundant number, since it is smaller than the sum of its proper divisors (294610606752).

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

106516021248 is an frugal number, since it uses more digits than its factorization.

106516021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 106516021248 its reverse (842120615601), we get a palindrome (948636636849).

The spelling of 106516021248 in words is "one hundred six billion, five hundred sixteen million, twenty-one thousand, two hundred forty-eight".