Search a number
-
+
106342431 = 3133187959
BaseRepresentation
bin1100101011010…
…10100000011111
321102002202101120
412111222200133
5204210424211
614315142023
72430616146
oct625524037
9242082346
10106342431
1155033708
122b744913
1319054620
14101a275d
159508d06
hex656a81f

106342431 has 16 divisors (see below), whose sum is σ = 157624320. Its totient is φ = 63329760.

The previous prime is 106342399. The next prime is 106342441. The reversal of 106342431 is 134243601.

It is not a de Polignac number, because 106342431 - 25 = 106342399 is a prime.

It is a super-2 number, since 2×1063424312 = 22617425261979522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106342441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42771 + ... + 45188.

It is an arithmetic number, because the mean of its divisors is an integer number (9851520).

Almost surely, 2106342431 is an apocalyptic number.

106342431 is a deficient number, since it is larger than the sum of its proper divisors (51281889).

106342431 is a wasteful number, since it uses less digits than its factorization.

106342431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88006.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106342431 is about 10312.2466514334. The cubic root of 106342431 is about 473.7714230211.

The spelling of 106342431 in words is "one hundred six million, three hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 13 31 39 93 403 1209 87959 263877 1143467 2726729 3430401 8180187 35447477 106342431