106006050640 has 160 divisors (see below), whose sum is σ = 286036621056. Its totient is φ = 35783700480.

The previous prime is 106006050611. The next prime is 106006050701. The reversal of 106006050640 is 46050600601.

106006050640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106006050640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106006050599 and 106006050608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27019719 + ... + 27023641.

Almost surely, 2^106006050640 is an apocalyptic number.

106006050640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143018310528).

106006050640 is an abundant number, since it is smaller than the sum of its proper divisors (180030570416).

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

106006050640 is a wasteful number, since it uses less digits than its factorization.

106006050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 106006050640 in words is "one hundred six billion, six million, fifty thousand, six hundred forty".