100830511932 has 72 divisors (see below), whose sum is σ = 239906420208. Its totient is φ = 32960378880.

The previous prime is 100830511913. The next prime is 100830511933. The reversal of 100830511932 is 239115038001.

It is a junction number, because it is equal to n+sod(n) for n = 100830511893 and 100830511902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100830511933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15758958 + ... + 15765354.

It is an arithmetic number, because the mean of its divisors is an integer number (3332033614).

Almost surely, 2^100830511932 is an apocalyptic number.

100830511932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100830511932 is an abundant number, since it is smaller than the sum of its proper divisors (139075908276).

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

100830511932 is a wasteful number, since it uses less digits than its factorization.

100830511932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 100830511932 its reverse (239115038001), we get a palindrome (339945549933).

The spelling of 100830511932 in words is "one hundred billion, eight hundred thirty million, five hundred eleven thousand, nine hundred thirty-two".