100405141515 has 192 divisors, whose sum is σ = 217460920320. Its totient is φ = 43048765440.

The previous prime is 100405141457. The next prime is 100405141567. The reversal of 100405141515 is 515141504001.

100405141515 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 5 + 141 + 515 = 666.

It is not a de Polignac number, because 100405141515 - 2⁹ = 100405141003 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 191 ways as a sum of consecutive naturals, for example, 117707829 + ... + 117708681.

It is an arithmetic number, because the mean of its divisors is an integer number (1132608960).

Almost surely, 2^100405141515 is an apocalyptic number.

100405141515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100405141515 is an abundant number, since it is smaller than the sum of its proper divisors (117055778805).

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

100405141515 is a wasteful number, since it uses less digits than its factorization.

100405141515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 100405141515 its reverse (515141504001), we get a palindrome (615546645516).

The spelling of 100405141515 in words is "one hundred billion, four hundred five million, one hundred forty-one thousand, five hundred fifteen".