106574217732 has 18 divisors (see below), whose sum is σ = 269395939358. Its totient is φ = 35524739232.

The previous prime is 106574217653. The next prime is 106574217751. The reversal of 106574217732 is 237712475601.

106574217732 is a `hidden beast` number, since 1 + 0 + 6 + 574 + 2 + 1 + 7 + 73 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89511065856 + 17063151876 = 299184^2 + 130626^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106574217732² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1480197433 + ... + 1480197504.

Almost surely, 2^106574217732 is an apocalyptic number.

106574217732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106574217732 is an abundant number, since it is smaller than the sum of its proper divisors (162821721626).

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

106574217732 is a wasteful number, since it uses less digits than its factorization.

106574217732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960394947 (or 2960394942 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 106574217732 in words is "one hundred six billion, five hundred seventy-four million, two hundred seventeen thousand, seven hundred thirty-two".