106178874201 has 27 divisors (see below), whose sum is σ = 156769931253. Its totient is φ = 69249854520.

The previous prime is 106178874187. The next prime is 106178874233. The reversal of 106178874201 is 102478871601.

The square root of 106178874201 is 325851.

It is a perfect power (a square), and thus also a powerful number.

106178874201 is a `hidden beast` number, since 1 + 0 + 617 + 8 + 8 + 7 + 4 + 20 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-106178874201 is a prime.

It is a super-2 number, since 2×106178874201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106178874301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45943836 + ... + 45946146.

Almost surely, 2^106178874201 is an apocalyptic number.

106178874201 is the 325851-st square number.

106178874201 is the 162926-th centered octagonal number.

It is an amenable number.

106178874201 is a deficient number, since it is larger than the sum of its proper divisors (50591057052).

106178874201 is an frugal number, since it uses more digits than its factorization.

106178874201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 106178874201 in words is "one hundred six billion, one hundred seventy-eight million, eight hundred seventy-four thousand, two hundred one".