101000509545 has 32 divisors (see below), whose sum is σ = 175754767104. Its totient is φ = 49231008000.

The previous prime is 101000509541. The next prime is 101000509559. The reversal of 101000509545 is 545905000101.

It is not a de Polignac number, because 101000509545 - 2² = 101000509541 is a prime.

It is a super-2 number, since 2×101000509545² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101000509541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2544421 + ... + 2583810.

It is an arithmetic number, because the mean of its divisors is an integer number (5492336472).

Almost surely, 2^101000509545 is an apocalyptic number.

101000509545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101000509545 is a deficient number, since it is larger than the sum of its proper divisors (74754257559).

101000509545 is a wasteful number, since it uses less digits than its factorization.

101000509545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128353.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 101000509545 its reverse (545905000101), we get a palindrome (646905509646).

The spelling of 101000509545 in words is "one hundred one billion, five hundred nine thousand, five hundred forty-five".