100406154225 has 48 divisors (see below), whose sum is σ = 179470513152. Its totient is φ = 49238261760.

The previous prime is 100406154221. The next prime is 100406154253. The reversal of 100406154225 is 522451604001.

It is not a de Polignac number, because 100406154225 - 2² = 100406154221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100406154192 and 100406154201.

It is not an unprimeable number, because it can be changed into a prime (100406154221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50224 + ... + 450926.

It is an arithmetic number, because the mean of its divisors is an integer number (3738969024).

Almost surely, 2^100406154225 is an apocalyptic number.

100406154225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100406154225 is a deficient number, since it is larger than the sum of its proper divisors (79064358927).

100406154225 is a wasteful number, since it uses less digits than its factorization.

100406154225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400986 (or 400981 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 100406154225 its reverse (522451604001), we get a palindrome (622857758226).

The spelling of 100406154225 in words is "one hundred billion, four hundred six million, one hundred fifty-four thousand, two hundred twenty-five".