106036789248 has 204 divisors, whose sum is σ = 329913571260. Its totient is φ = 32624345088.

The previous prime is 106036789241. The next prime is 106036789277. The reversal of 106036789248 is 842987630601.

106036789248 is a `hidden beast` number, since 1 + 0 + 603 + 6 + 7 + 8 + 9 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15863906304 + 90172882944 = 125952^2 + 300288^2 .

It is a super-2 number, since 2×106036789248² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106036789194 and 106036789203.

It is not an unprimeable number, because it can be changed into a prime (106036789241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7660798 + ... + 7674626.

Almost surely, 2^106036789248 is an apocalyptic number.

106036789248 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 106036789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164956785630).

106036789248 is an abundant number, since it is smaller than the sum of its proper divisors (223876782012).

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

106036789248 is an equidigital number, since it uses as much as digits as its factorization.

106036789248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880 (or 13847 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 106036789248 in words is "one hundred six billion, thirty-six million, seven hundred eighty-nine thousand, two hundred forty-eight".