106551974929 has 9 divisors (see below), whose sum is σ = 106936906107. Its totient is φ = 106168427904.

The previous prime is 106551974923. The next prime is 106551974941. The reversal of 106551974929 is 929479155601.

The square root of 106551974929 is 326423.

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

It can be written as a sum of positive squares in only one way, i.e., 65115301329 + 41436673600 = 255177^2 + 203560^2 .

It is not a de Polignac number, because 106551974929 - 2⁷ = 106551974801 is a prime.

It is a super-2 number, since 2×106551974929² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106551974923) 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 8 ways as a sum of consecutive naturals, for example, 146563564 + ... + 146564290.

Almost surely, 2^106551974929 is an apocalyptic number.

106551974929 is the 326423-rd square number.

106551974929 is the 163212-nd centered octagonal number.

It is an amenable number.

106551974929 is a deficient number, since it is larger than the sum of its proper divisors (384931178).

106551974929 is an frugal number, since it uses more digits than its factorization.

106551974929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 58.

The spelling of 106551974929 in words is "one hundred six billion, five hundred fifty-one million, nine hundred seventy-four thousand, nine hundred twenty-nine".