10106655656010 has 64 divisors (see below), whose sum is σ = 24354170449920. Its totient is φ = 2684204516160.

The previous prime is 10106655655937. The next prime is 10106655656017. The reversal of 10106655656010 is 1065655660101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10106655656017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22697979 + ... + 23138961.

It is an arithmetic number, because the mean of its divisors is an integer number (380533913280).

Almost surely, 2^{10106655656010} is an apocalyptic number.

10106655656010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106655656010 is an abundant number, since it is smaller than the sum of its proper divisors (14247514793910).

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

10106655656010 is a wasteful number, since it uses less digits than its factorization.

10106655656010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444083.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 10106655656010 in words is "ten trillion, one hundred six billion, six hundred fifty-five million, six hundred fifty-six thousand, ten".