10106016164356 has 72 divisors (see below), whose sum is σ = 21026998573056. Its totient is φ = 4236523724160.

The previous prime is 10106016164353. The next prime is 10106016164437. The reversal of 10106016164356 is 65346161060101.

It is not an unprimeable number, because it can be changed into a prime (10106016164353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091785 + ... + 4626448.

It is an arithmetic number, because the mean of its divisors is an integer number (292041646848).

Almost surely, 2^{10106016164356} is an apocalyptic number.

It is an amenable number.

10106016164356 is an abundant number, since it is smaller than the sum of its proper divisors (10920982408700).

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

10106016164356 is a wasteful number, since it uses less digits than its factorization.

10106016164356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718449 (or 5718440 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10106016164356 in words is "ten trillion, one hundred six billion, sixteen million, one hundred sixty-four thousand, three hundred fifty-six".