Search a number
-
+
106915977 = 3373715289
BaseRepresentation
bin1100101111101…
…10100010001001
321110011220011000
412113312202021
5204332302402
614335325213
72435525250
oct627664211
9243156130
10106915977
1155395613
122b980809
13191c56bc
14102b1797
1595bdc1c
hex65f6889

106915977 has 32 divisors (see below), whose sum is σ = 185926400. Its totient is φ = 59439744.

The previous prime is 106915969. The next prime is 106915997. The reversal of 106915977 is 779519601.

It is not a de Polignac number, because 106915977 - 23 = 106915969 is a prime.

It is a super-2 number, since 2×1069159772 = 22862052275729058, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106915997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (5810200).

Almost surely, 2106915977 is an apocalyptic number.

It is an amenable number.

106915977 is a deficient number, since it is larger than the sum of its proper divisors (79010423).

106915977 is a wasteful number, since it uses less digits than its factorization.

106915977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15342 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 106915977 is about 10340.0182301580. The cubic root of 106915977 is about 474.6216407124.

The spelling of 106915977 in words is "one hundred six million, nine hundred fifteen thousand, nine hundred seventy-seven".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 15289 45867 107023 137601 321069 412803 565693 963207 1697079 2889621 3959851 5091237 11879553 15273711 35638659 106915977