105532385387070 has 64 divisors (see below), whose sum is σ = 271953547324416. Its totient is φ = 26113509327360.

The previous prime is 105532385387069. The next prime is 105532385387111. The reversal of 105532385387070 is 70783583235501.

It is a super-3 number, since 3×105532385387070³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105532385387070.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457190874 + ... + 1457263293.

It is an arithmetic number, because the mean of its divisors is an integer number (4249274176944).

Almost surely, 2^{105532385387070} is an apocalyptic number.

105532385387070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105532385387070 is an abundant number, since it is smaller than the sum of its proper divisors (166421161937346).

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

105532385387070 is a wasteful number, since it uses less digits than its factorization.

105532385387070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914454265.

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 105532385387070 in words is "one hundred five trillion, five hundred thirty-two billion, three hundred eighty-five million, three hundred eighty-seven thousand, seventy".