105732001605 has 32 divisors (see below), whose sum is σ = 174703471488. Its totient is φ = 54563155200.

The previous prime is 105732001589. The next prime is 105732001621. The reversal of 105732001605 is 506100237501.

It is an interprime number because it is at equal distance from previous prime (105732001589) and next prime (105732001621).

It is not a de Polignac number, because 105732001605 - 2⁴ = 105732001589 is a prime.

It is a super-2 number, since 2×105732001605² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 425811 + ... + 626720.

It is an arithmetic number, because the mean of its divisors is an integer number (5459483484).

Almost surely, 2^105732001605 is an apocalyptic number.

105732001605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105732001605 is a deficient number, since it is larger than the sum of its proper divisors (68971469883).

105732001605 is a wasteful number, since it uses less digits than its factorization.

105732001605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052757.

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 105732001605 in words is "one hundred five billion, seven hundred thirty-two million, one thousand, six hundred five".