106526305237680 has 120 divisors (see below), whose sum is σ = 366070628880528. Its totient is φ = 27746386472448.

The previous prime is 106526305237633. The next prime is 106526305237687. The reversal of 106526305237680 is 86732503625601.

106526305237680 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 2 + 6 + 30 + 523 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106526305237680² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106526305237687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720355107 + ... + 1720417026.

Almost surely, 2^{106526305237680} is an apocalyptic number.

106526305237680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106526305237680 is an abundant number, since it is smaller than the sum of its proper divisors (259544323642848).

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

106526305237680 is a wasteful number, since it uses less digits than its factorization.

106526305237680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440772195 (or 3440772186 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 106526305237680 in words is "one hundred six trillion, five hundred twenty-six billion, three hundred five million, two hundred thirty-seven thousand, six hundred eighty".