105761530621040 has 240 divisors, whose sum is σ = 308820726619200. Its totient is φ = 32951258382336.

The previous prime is 105761530621031. The next prime is 105761530621141. The reversal of 105761530621040 is 40126035167501.

It is a happy number.

It is a super-2 number, since 2×105761530621040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6573785 + ... + 15960504.

It is an arithmetic number, because the mean of its divisors is an integer number (1286753027580).

Almost surely, 2^{105761530621040} is an apocalyptic number.

105761530621040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105761530621040 is an abundant number, since it is smaller than the sum of its proper divisors (203059195998160).

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

105761530621040 is a wasteful number, since it uses less digits than its factorization.

105761530621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22534372 (or 22534349 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

Adding to 105761530621040 its reverse (40126035167501), we get a palindrome (145887565788541).

The spelling of 105761530621040 in words is "one hundred five trillion, seven hundred sixty-one billion, five hundred thirty million, six hundred twenty-one thousand, forty".