106002585842 has 32 divisors (see below), whose sum is σ = 169518929328. Its totient is φ = 49539649536.

The previous prime is 106002585839. The next prime is 106002585851. The reversal of 106002585842 is 248585200601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61573955881 + 44428629961 = 248141^2 + 210781^2 .

It is a super-2 number, since 2×106002585842² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106002585842.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13218218 + ... + 13226234.

Almost surely, 2^106002585842 is an apocalyptic number.

106002585842 is a deficient number, since it is larger than the sum of its proper divisors (63516343486).

106002585842 is a wasteful number, since it uses less digits than its factorization.

106002585842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670.

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 106002585842 in words is "one hundred six billion, two million, five hundred eighty-five thousand, eight hundred forty-two".