10105540010 has 16 divisors (see below), whose sum is σ = 19259970696. Its totient is φ = 3804438528.

The previous prime is 10105540009. The next prime is 10105540021. The reversal of 10105540010 is 1004550101.

10105540010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9971420449 + 134119561 = 99857^2 + 11581^2 .

It is a super-3 number, since 3×10105540010³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29722007 + ... + 29722346.

Almost surely, 2^10105540010 is an apocalyptic number.

10105540010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105540010 is a deficient number, since it is larger than the sum of its proper divisors (9154430686).

10105540010 is a wasteful number, since it uses less digits than its factorization.

10105540010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59444377.

The product of its (nonzero) digits is 100, while the sum is 17.

The spelling of 10105540010 in words is "ten billion, one hundred five million, five hundred forty thousand, ten".