106556606145 has 48 divisors (see below), whose sum is σ = 201773707200. Its totient is φ = 51590770560.

The previous prime is 106556606131. The next prime is 106556606147. The reversal of 106556606145 is 541606655601.

106556606145 is a `hidden beast` number, since 10 + 65 + 566 + 0 + 6 + 14 + 5 = 666.

It is not a de Polignac number, because 106556606145 - 2⁴ = 106556606129 is a prime.

It is a super-2 number, since 2×106556606145² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106556606145.

It is not an unprimeable number, because it can be changed into a prime (106556606147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199146 + ... + 502764.

It is an arithmetic number, because the mean of its divisors is an integer number (4203618900).

Almost surely, 2^106556606145 is an apocalyptic number.

106556606145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106556606145 is a deficient number, since it is larger than the sum of its proper divisors (95217101055).

106556606145 is a wasteful number, since it uses less digits than its factorization.

106556606145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304350 (or 304347 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 106556606145 in words is "one hundred six billion, five hundred fifty-six million, six hundred six thousand, one hundred forty-five".