Search a number
-
+
106643901 = 37132151199
BaseRepresentation
bin1100101101101…
…00000110111101
321102200001221010
412112310012331
5204300101101
614325425433
72433313110
oct626640675
9242601833
10106643901
115521a161
122b86b279
131912b900
1410240577
1595682d6
hex65b41bd

106643901 has 48 divisors (see below), whose sum is σ = 178022400. Its totient is φ = 55598400.

The previous prime is 106643899. The next prime is 106643909. The reversal of 106643901 is 109346601.

It is not a de Polignac number, because 106643901 - 21 = 106643899 is a prime.

It is a super-2 number, since 2×1066439012 = 22745843240995602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106643909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535800 + ... + 535998.

It is an arithmetic number, because the mean of its divisors is an integer number (3708800).

Almost surely, 2106643901 is an apocalyptic number.

It is an amenable number.

106643901 is a deficient number, since it is larger than the sum of its proper divisors (71378499).

106643901 is a wasteful number, since it uses less digits than its factorization.

106643901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 106643901 is about 10326.8533929750. The cubic root of 106643901 is about 474.2186985950.

The spelling of 106643901 in words is "one hundred six million, six hundred forty-three thousand, nine hundred one".

Divisors: 1 3 7 13 21 39 91 151 169 199 273 453 507 597 1057 1183 1393 1963 2587 3171 3549 4179 5889 7761 13741 18109 25519 30049 33631 41223 54327 76557 90147 100893 178633 210343 235417 390637 535899 631029 706251 1171911 2734459 5078281 8203377 15234843 35547967 106643901