100094251125 has 128 divisors (see below), whose sum is σ = 195031908864. Its totient is φ = 45047808000.

The previous prime is 100094251121. The next prime is 100094251171. The reversal of 100094251125 is 521152490001.

It is not a de Polignac number, because 100094251125 - 2² = 100094251121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100094251092 and 100094251101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100094251121) 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 127 ways as a sum of consecutive naturals, for example, 5109349 + ... + 5128901.

It is an arithmetic number, because the mean of its divisors is an integer number (1523686788).

Almost surely, 2^100094251125 is an apocalyptic number.

100094251125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100094251125 is a deficient number, since it is larger than the sum of its proper divisors (94937657739).

100094251125 is a wasteful number, since it uses less digits than its factorization.

100094251125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19672 (or 19662 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 100094251125 in words is "one hundred billion, ninety-four million, two hundred fifty-one thousand, one hundred twenty-five".