106345033040 has 20 divisors (see below), whose sum is σ = 247252202004. Its totient is φ = 42538013184.

The previous prime is 106345033007. The next prime is 106345033051. The reversal of 106345033040 is 40330543601.

It can be written as a sum of positive squares in 2 ways, for example, as 62344097344 + 44000935696 = 249688^2 + 209764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106345033040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106345032994 and 106345033012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664656377 + ... + 664656536.

Almost surely, 2^106345033040 is an apocalyptic number.

106345033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106345033040 is an abundant number, since it is smaller than the sum of its proper divisors (140907168964).

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

106345033040 is a wasteful number, since it uses less digits than its factorization.

106345033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329312926 (or 1329312920 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 106345033040 its reverse (40330543601), we get a palindrome (146675576641).

The spelling of 106345033040 in words is "one hundred six billion, three hundred forty-five million, thirty-three thousand, forty".