10506100605 has 128 divisors (see below), whose sum is σ = 23180967936. Its totient is φ = 3921177600.

The previous prime is 10506100573. The next prime is 10506100613. The reversal of 10506100605 is 50600160501.

It is not a de Polignac number, because 10506100605 - 2⁵ = 10506100573 is a prime.

It is a super-2 number, since 2×10506100605² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 546100 + ... + 565010.

It is an arithmetic number, because the mean of its divisors is an integer number (181101312).

Almost surely, 2^10506100605 is an apocalyptic number.

10506100605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506100605 is an abundant number, since it is smaller than the sum of its proper divisors (12674867331).

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

10506100605 is a wasteful number, since it uses less digits than its factorization.

10506100605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18987.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 10506 and 100605, that added together give a palindrome (111111).

The spelling of 10506100605 in words is "ten billion, five hundred six million, one hundred thousand, six hundred five".