100161006002505 has 48 divisors (see below), whose sum is σ = 207040886956800. Its totient is φ = 43797110696064.

The previous prime is 100161006002501. The next prime is 100161006002567. The reversal of 100161006002505 is 505200600161001.

It is a happy number.

100161006002505 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 1 + 0 + 0 + 600 + 2 + 50 + 5 = 666.

It is not a de Polignac number, because 100161006002505 - 2² = 100161006002501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100161006002501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6912415530 + ... + 6912430019.

It is an arithmetic number, because the mean of its divisors is an integer number (4313351811600).

Almost surely, 2^{100161006002505} is an apocalyptic number.

100161006002505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100161006002505 is an abundant number, since it is smaller than the sum of its proper divisors (106879880954295).

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

100161006002505 is a wasteful number, since it uses less digits than its factorization.

100161006002505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13824845590 (or 13824845587 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 100161006002505 its reverse (505200600161001), we get a palindrome (605361606163506).

The spelling of 100161006002505 in words is "one hundred trillion, one hundred sixty-one billion, six million, two thousand, five hundred five".