214253106002 has 96 divisors (see below), whose sum is σ = 368235337680. Its totient is φ = 93307468800.

The previous prime is 214253105971. The next prime is 214253106017. The reversal of 214253106002 is 200601352412.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 133626071401 + 80627034601 = 365549^2 + 283949^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164682752 + ... + 164684052.

Almost surely, 2^214253106002 is an apocalyptic number.

214253106002 is a deficient number, since it is larger than the sum of its proper divisors (153982231678).

214253106002 is a wasteful number, since it uses less digits than its factorization.

214253106002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 214253106002 its reverse (200601352412), we get a palindrome (414854458414).

The spelling of 214253106002 in words is "two hundred fourteen billion, two hundred fifty-three million, one hundred six thousand, two".