100434165975 has 336 divisors, whose sum is σ = 222342956640. Its totient is φ = 44341862400.

The previous prime is 100434165971. The next prime is 100434165991. The reversal of 100434165975 is 579561434001.

100434165975 is a `hidden beast` number, since 1 + 0 + 0 + 43 + 4 + 16 + 597 + 5 = 666.

It is not a de Polignac number, because 100434165975 - 2² = 100434165971 is a prime.

It is a super-3 number, since 3×100434165975³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 100434165975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434165971) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 231949359 + ... + 231949791.

It is an arithmetic number, because the mean of its divisors is an integer number (661734990).

Almost surely, 2^100434165975 is an apocalyptic number.

100434165975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100434165975 is an abundant number, since it is smaller than the sum of its proper divisors (121908790665).

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

100434165975 is a wasteful number, since it uses less digits than its factorization.

100434165975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Adding to 100434165975 its reverse (579561434001), we get a palindrome (679995599976).

The spelling of 100434165975 in words is "one hundred billion, four hundred thirty-four million, one hundred sixty-five thousand, nine hundred seventy-five".