Search a number
-
+
106488431 = 741936307
BaseRepresentation
bin1100101100011…
…10001001101111
321102101011122222
412112032021233
5204230112211
614322225555
72432064620
oct626161157
9242334588
10106488431
1155123375
122b7b52bb
13190a5c0a
14101dda47
1595371db
hex658e26f

106488431 has 8 divisors (see below), whose sum is σ = 121994880. Its totient is φ = 91055448.

The previous prime is 106488359. The next prime is 106488449. The reversal of 106488431 is 134884601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106488431 - 218 = 106226287 is a prime.

It is a super-2 number, since 2×1064884312 = 22679571873683522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106488391 and 106488400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106488461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15221 + ... + 21086.

It is an arithmetic number, because the mean of its divisors is an integer number (15249360).

Almost surely, 2106488431 is an apocalyptic number.

106488431 is a deficient number, since it is larger than the sum of its proper divisors (15506449).

106488431 is an equidigital number, since it uses as much as digits as its factorization.

106488431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36733.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 106488431 is about 10319.3231851706. The cubic root of 106488431 is about 473.9881411455.

The spelling of 106488431 in words is "one hundred six million, four hundred eighty-eight thousand, four hundred thirty-one".

Divisors: 1 7 419 2933 36307 254149 15212633 106488431