100229285538 has 54 divisors (see below), whose sum is σ = 220474947771. Its totient is φ = 32907861000.

The previous prime is 100229285537. The next prime is 100229285549. The reversal of 100229285538 is 835582922001.

100229285538 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 92 + 8 + 553 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50114642769 + 50114642769 = 223863^2 + 223863^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223863.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100229285493 and 100229285502.

It is not an unprimeable number, because it can be changed into a prime (100229285537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95365113 + ... + 95366163.

Almost surely, 2^100229285538 is an apocalyptic number.

100229285538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100229285538 is an abundant number, since it is smaller than the sum of its proper divisors (120245662233).

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

100229285538 is an frugal number, since it uses more digits than its factorization.

100229285538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 100229285538 in words is "one hundred billion, two hundred twenty-nine million, two hundred eighty-five thousand, five hundred thirty-eight".