106641176642 has 32 divisors (see below), whose sum is σ = 214773842304. Its totient is φ = 38352470400.

The previous prime is 106641176641. The next prime is 106641176687. The reversal of 106641176642 is 246671146601.

It is a super-2 number, since 2×106641176642² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 106641176593 and 106641176602.

It is not an unprimeable number, because it can be changed into a prime (106641176641) 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, 26631659 + ... + 26635662.

It is an arithmetic number, because the mean of its divisors is an integer number (6711682572).

Almost surely, 2^106641176642 is an apocalyptic number.

106641176642 is an abundant number, since it is smaller than the sum of its proper divisors (108132665662).

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

106641176642 is a wasteful number, since it uses less digits than its factorization.

106641176642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53267354.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 106641176642 in words is "one hundred six billion, six hundred forty-one million, one hundred seventy-six thousand, six hundred forty-two".