106404371825 has 24 divisors (see below), whose sum is σ = 135041335968. Its totient is φ = 83124478080.

The previous prime is 106404371819. The next prime is 106404371831. The reversal of 106404371825 is 528173404601.

It is an interprime number because it is at equal distance from previous prime (106404371819) and next prime (106404371831).

It is not a de Polignac number, because 106404371825 - 2³⁰ = 105330630001 is a prime.

It is a super-2 number, since 2×106404371825² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6100517 + ... + 6117933.

It is an arithmetic number, because the mean of its divisors is an integer number (5626722332).

Almost surely, 2^106404371825 is an apocalyptic number.

It is an amenable number.

106404371825 is a deficient number, since it is larger than the sum of its proper divisors (28636964143).

106404371825 is a wasteful number, since it uses less digits than its factorization.

106404371825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23153 (or 23148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 106404371825 in words is "one hundred six billion, four hundred four million, three hundred seventy-one thousand, eight hundred twenty-five".