100506100505 has 32 divisors (see below), whose sum is σ = 124389820800. Its totient is φ = 77911027200.

The previous prime is 100506100489. The next prime is 100506100517. The reversal of 100506100505 is 505001605001.

It is not a de Polignac number, because 100506100505 - 2⁴ = 100506100489 is a prime.

It is a super-3 number, since 3×100506100505³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 56179151 + ... + 56180939.

It is an arithmetic number, because the mean of its divisors is an integer number (3887181900).

Almost surely, 2^100506100505 is an apocalyptic number.

It is an amenable number.

100506100505 is a deficient number, since it is larger than the sum of its proper divisors (23883720295).

100506100505 is a wasteful number, since it uses less digits than its factorization.

100506100505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 100506100505 its reverse (505001605001), we get a palindrome (605507705506).

The spelling of 100506100505 in words is "one hundred billion, five hundred six million, one hundred thousand, five hundred five".