642506106 has 32 divisors (see below), whose sum is σ = 1425600000. Its totient is φ = 191397680.

The previous prime is 642506101. The next prime is 642506113. The reversal of 642506106 is 601605246.

It is not an unprimeable number, because it can be changed into a prime (642506101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78606 + ... + 86393.

It is an arithmetic number, because the mean of its divisors is an integer number (44550000).

Almost surely, 2^642506106 is an apocalyptic number.

642506106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642506106 is an abundant number, since it is smaller than the sum of its proper divisors (783093894).

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

642506106 is a wasteful number, since it uses less digits than its factorization.

642506106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165074.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 642506106 is about 25347.7041563925. The cubic root of 642506106 is about 862.8972530047.

The spelling of 642506106 in words is "six hundred forty-two million, five hundred six thousand, one hundred six".