106002642080 has 48 divisors (see below), whose sum is σ = 259066813320. Its totient is φ = 40938949632.

The previous prime is 106002642047. The next prime is 106002642107. The reversal of 106002642080 is 80246200601.

It can be written as a sum of positive squares in 4 ways, for example, as 84837047824 + 21165594256 = 291268^2 + 145484^2 .

It is a super-2 number, since 2×106002642080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11418059 + ... + 11427338.

Almost surely, 2^106002642080 is an apocalyptic number.

106002642080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106002642080 is an abundant number, since it is smaller than the sum of its proper divisors (153064171240).

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

106002642080 is a wasteful number, since it uses less digits than its factorization.

106002642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22845441 (or 22845433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 106002642080 its reverse (80246200601), we get a palindrome (186248842681).

The spelling of 106002642080 in words is "one hundred six billion, two million, six hundred forty-two thousand, eighty".