100146534012 has 144 divisors (see below), whose sum is σ = 293122851840. Its totient is φ = 28238461056.

The previous prime is 100146533959. The next prime is 100146534023. The reversal of 100146534012 is 210435641001.

It is a happy number.

100146534012 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 653 + 4 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×100146534012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7246413 + ... + 7260219.

It is an arithmetic number, because the mean of its divisors is an integer number (2035575360).

Almost surely, 2^100146534012 is an apocalyptic number.

100146534012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100146534012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146561425920).

100146534012 is an abundant number, since it is smaller than the sum of its proper divisors (192976317828).

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

100146534012 is a wasteful number, since it uses less digits than its factorization.

100146534012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14200 (or 14195 counting only the distinct ones).

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

The spelling of 100146534012 in words is "one hundred billion, one hundred forty-six million, five hundred thirty-four thousand, twelve".