106006050510 has 32 divisors (see below), whose sum is σ = 269380082592. Its totient is φ = 26605440000.

The previous prime is 106006050509. The next prime is 106006050511. The reversal of 106006050510 is 15050600601.

It is an interprime number because it is at equal distance from previous prime (106006050509) and next prime (106006050511).

It is a super-2 number, since 2×106006050510² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006050511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103926991 + ... + 103928010.

It is an arithmetic number, because the mean of its divisors is an integer number (8418127581).

Almost surely, 2^106006050510 is an apocalyptic number.

106006050510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106006050510 is an abundant number, since it is smaller than the sum of its proper divisors (163374032082).

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

106006050510 is a wasteful number, since it uses less digits than its factorization.

106006050510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207855028.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106006050510 in words is "one hundred six billion, six million, fifty thousand, five hundred ten".