100034141400315 has 96 divisors (see below), whose sum is σ = 179758994688000. Its totient is φ = 51400607360256.

The previous prime is 100034141400223. The next prime is 100034141400367. The reversal of 100034141400315 is 513004141430001.

100034141400315 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 341 + 4 + 1 + 4 + 0 + 0 + 315 = 666.

It is not a de Polignac number, because 100034141400315 - 2¹⁴ = 100034141383931 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5762658606 + ... + 5762675964.

It is an arithmetic number, because the mean of its divisors is an integer number (1872489528000).

Almost surely, 2^{100034141400315} is an apocalyptic number.

100034141400315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100034141400315 is a deficient number, since it is larger than the sum of its proper divisors (79724853287685).

100034141400315 is a wasteful number, since it uses less digits than its factorization.

100034141400315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681 (or 26678 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100034141400315 its reverse (513004141430001), we get a palindrome (613038282830316).

The spelling of 100034141400315 in words is "one hundred trillion, thirty-four billion, one hundred forty-one million, four hundred thousand, three hundred fifteen".