100102000968 has 48 divisors (see below), whose sum is σ = 271547686800. Its totient is φ = 33313413600.

The previous prime is 100102000963. The next prime is 100102000969. The reversal of 100102000968 is 869000201001.

It is not an unprimeable number, because it can be changed into a prime (100102000963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078458 + ... + 1167593.

It is an arithmetic number, because the mean of its divisors is an integer number (5657243475).

Almost surely, 2^100102000968 is an apocalyptic number.

100102000968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100102000968 is an abundant number, since it is smaller than the sum of its proper divisors (171445685832).

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

100102000968 is a wasteful number, since it uses less digits than its factorization.

100102000968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246682 (or 2246675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 100102000968 its reverse (869000201001), we get a palindrome (969102201969).

The spelling of 100102000968 in words is "one hundred billion, one hundred two million, nine hundred sixty-eight", and thus it is an aban number.