100160506134 has 288 divisors, whose sum is σ = 257952895200. Its totient is φ = 27825638400.

The previous prime is 100160506133. The next prime is 100160506157. The reversal of 100160506134 is 431605061001.

100160506134 is a `hidden beast` number, since 10 + 0 + 16 + 0 + 506 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100160506098 and 100160506107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100160506133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 918903672 + ... + 918903780.

It is an arithmetic number, because the mean of its divisors is an integer number (895669775).

Almost surely, 2^100160506134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100160506134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976447600).

100160506134 is an abundant number, since it is smaller than the sum of its proper divisors (157792389066).

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

100160506134 is a wasteful number, since it uses less digits than its factorization.

100160506134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100160506134 its reverse (431605061001), we get a palindrome (531765567135).

The spelling of 100160506134 in words is "one hundred billion, one hundred sixty million, five hundred six thousand, one hundred thirty-four".