106353000000 has 980 divisors, whose sum is σ = 428589748356. Its totient is φ = 25920000000.

The previous prime is 106352999999. The next prime is 106353000011. The reversal of 106353000000 is 353601.

106353000000 is a `hidden beast` number, since 1 + 0 + 635 + 30 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 95317917696 + 11035082304 = 308736^2 + 105048^2 .

It is a super-2 number, since 2×106353000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1052999950 + ... + 1053000050.

Almost surely, 2^106353000000 is an apocalyptic number.

106353000000 is a gapful number since it is divisible by the number (10) 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 106353000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214294874178).

106353000000 is an abundant number, since it is smaller than the sum of its proper divisors (322236748356).

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

106353000000 is an frugal number, since it uses more digits than its factorization.

106353000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 106353000000 its reverse (353601), we get a palindrome (106353353601).

The spelling of 106353000000 in words is "one hundred six billion, three hundred fifty-three million", and thus it is an aban number.