100410414015 has 32 divisors (see below), whose sum is σ = 162352221696. Its totient is φ = 52987721600.

The previous prime is 100410414007. The next prime is 100410414023. The reversal of 100410414015 is 510414014001.

It is an interprime number because it is at equal distance from previous prime (100410414007) and next prime (100410414023).

It is not a de Polignac number, because 100410414015 - 2³ = 100410414007 is a prime.

It is a super-3 number, since 3×100410414015³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100410413982 and 100410414000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413984 + ... + 2455226.

It is an arithmetic number, because the mean of its divisors is an integer number (5073506928).

Almost surely, 2^100410414015 is an apocalyptic number.

100410414015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100410414015 is a deficient number, since it is larger than the sum of its proper divisors (61941807681).

100410414015 is a wasteful number, since it uses less digits than its factorization.

100410414015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42959.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 100410414015 its reverse (510414014001), we get a palindrome (610824428016).

The spelling of 100410414015 in words is "one hundred billion, four hundred ten million, four hundred fourteen thousand, fifteen".