106013656040 has 16 divisors (see below), whose sum is σ = 238530726180. Its totient is φ = 42405462400.

The previous prime is 106013656031. The next prime is 106013656057. The reversal of 106013656040 is 40656310601.

It can be written as a sum of positive squares in 2 ways, for example, as 96612802276 + 9400853764 = 310826^2 + 96958^2 .

It is a super-2 number, since 2×106013656040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106013655988 and 106013656006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325170661 + ... + 1325170740.

Almost surely, 2^106013656040 is an apocalyptic number.

106013656040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106013656040 is an abundant number, since it is smaller than the sum of its proper divisors (132517070140).

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

106013656040 is a wasteful number, since it uses less digits than its factorization.

106013656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650341412 (or 2650341408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 106013656040 its reverse (40656310601), we get a palindrome (146669966641).

The spelling of 106013656040 in words is "one hundred six billion, thirteen million, six hundred fifty-six thousand, forty".