100216160145 has 20 divisors (see below), whose sum is σ = 179646747060. Its totient is φ = 53448618528.

The previous prime is 100216160113. The next prime is 100216160179. The reversal of 100216160145 is 541061612001.

100216160145 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 616 + 0 + 1 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51798118464 + 48418041681 = 227592^2 + 220041^2 .

It is not a de Polignac number, because 100216160145 - 2⁵ = 100216160113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 123723250 + ... + 123724059.

It is an arithmetic number, because the mean of its divisors is an integer number (8982337353).

Almost surely, 2^100216160145 is an apocalyptic number.

100216160145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100216160145 is a deficient number, since it is larger than the sum of its proper divisors (79430586915).

100216160145 is an equidigital number, since it uses as much as digits as its factorization.

100216160145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247447326 (or 247447317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 100216160145 its reverse (541061612001), we get a palindrome (641277772146).

The spelling of 100216160145 in words is "one hundred billion, two hundred sixteen million, one hundred sixty thousand, one hundred forty-five".