1398105006 has 32 divisors (see below), whose sum is σ = 2947914240. Its totient is φ = 440826624.

The previous prime is 1398105001. The next prime is 1398105011. The reversal of 1398105006 is 6005018931.

It is an interprime number because it is at equal distance from previous prime (1398105001) and next prime (1398105011).

It is a super-3 number, since 3×1398105006³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398105001) 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 15 ways as a sum of consecutive naturals, for example, 67611 + ... + 85833.

It is an arithmetic number, because the mean of its divisors is an integer number (92122320).

Almost surely, 2^1398105006 is an apocalyptic number.

1398105006 is an abundant number, since it is smaller than the sum of its proper divisors (1549809234).

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

1398105006 is a wasteful number, since it uses less digits than its factorization.

1398105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920.

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

The square root of 1398105006 is about 37391.2423703733. The cubic root of 1398105006 is about 1118.1839739784.

The spelling of 1398105006 in words is "one billion, three hundred ninety-eight million, one hundred five thousand, six".